बहुपद \(5x^3-2x+7\) की डिग्री क्या है?
What is the degree of the polynomial \(5x^3-2x+7\)?
#polynomial
#degree
#highest_power
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A (1)
B (2)
C (3)
D (7)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3). To find degree, look at the highest power.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3). To find degree, look at the highest power.
Step 3
Exam Tip
सबसे बड़ी घात (3) है। डिग्री निकालते समय सबसे बड़ी घात देखें।
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बहुपद \(4x^3+2x^2-7\) की डिग्री क्या है?
What is the degree of the polynomial \(4x^3+2x^2-7\)?
#polynomial
#degree
#highest_power
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3). To find degree, look at the highest power.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3). To find degree, look at the highest power.
Step 3
Exam Tip
सबसे बड़ी घात (3) है। डिग्री निकालते समय सबसे बड़ी घात देखें।
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बहुपद \(8x^2+4x-9\) की डिग्री क्या है?
What is the degree of the polynomial \(8x^2+4x-9\)?
#polynomial
#degree
#quadratic
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A (0)
B (1)
C (2)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power in this polynomial is (2). So its degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power in this polynomial is (2). So its degree is (2).
Step 3
Exam Tip
इस बहुपद में सबसे बड़ी घात (2) है। इसलिए इसकी डिग्री (2) है।
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बहुपद (9x-5) की डिग्री क्या है?
What is the degree of the polynomial (9x-5)?
#polynomial
#degree
#linear
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A (0)
B (1)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
In (9x-5), the highest power of (x) is (1). Therefore its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). In (9x-5), the highest power of (x) is (1). Therefore its degree is (1).
Step 3
Exam Tip
(9x-5) में (x) की सबसे बड़ी घात (1) है। इसलिए इसकी डिग्री (1) है।
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बहुपद (6x-13) की डिग्री क्या है?
What is the degree of the polynomial (6x-13)?
#polynomial
#degree
#linear
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A (0)
B (1)
C (6)
D (13)
Explanation opens after your attempt
Step 1
Concept
The power of (x) is (1). Therefore it is a polynomial of degree (1).
Step 2
Why this answer is correct
The correct answer is B. (1). The power of (x) is (1). Therefore it is a polynomial of degree (1).
Step 3
Exam Tip
(x) की घात (1) है। इसलिए यह डिग्री (1) का बहुपद है।
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बहुपद \(6x^5-3x^2+x+8\) की डिग्री क्या होगी?
What will be the degree of \(6x^5-3x^2+x+8\)?
#polynomial
#degree
#class9
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A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power in this polynomial is (5). Therefore the degree of the polynomial is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power in this polynomial is (5). Therefore the degree of the polynomial is (5).
Step 3
Exam Tip
इस बहुपद में सबसे बड़ी घात (5) है। इसलिए बहुपद की डिग्री (5) होगी।
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अशून्य नियतांक बहुपद (-18) की डिग्री क्या होती है?
What is the degree of the non-zero constant polynomial (-18)?
#polynomial
#degree_zero
#constant
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A (0)
B (1)
C (18)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). (-18) can be treated as \(-18x^0\).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). (-18) can be treated as \(-18x^0\).
Step 3
Exam Tip
अशून्य नियतांक बहुपद की डिग्री (0) होती है। (-18) को \(-18x^0\) माना जा सकता है।
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अशून्य नियतांक बहुपद (12) की डिग्री क्या है?
What is the degree of the non-zero constant polynomial (12)?
#polynomial
#constant
#degree_zero
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A (0)
B (1)
C (12)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). (12) can be considered as \(12x^0\).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). (12) can be considered as \(12x^0\).
Step 3
Exam Tip
अशून्य नियतांक बहुपद की डिग्री (0) होती है। (12) को \(12x^0\) माना जा सकता है।
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बहुपद \(0x^5+7x^4-3x+2\) की डिग्री क्या है?
What is the degree of the polynomial \(0x^5+7x^4-3x+2\)?
#polynomial
#zero_coefficient
#degree
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A (5)
B (4)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(0x^5\) is a zero term, so it is not counted. The remaining highest power is (4).
Step 2
Why this answer is correct
The correct answer is B. (4). \(0x^5\) is a zero term, so it is not counted. The remaining highest power is (4).
Step 3
Exam Tip
\(0x^5\) शून्य पद है, इसलिए उसे नहीं गिनते। बची हुई सबसे बड़ी घात (4) है।
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बहुपद \(0x^4+7x^2-3x+1\) की डिग्री क्या है?
What is the degree of \(0x^4+7x^2-3x+1\)?
#polynomial
#zero_coefficient
#degree
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A (4)
B (3)
C (2)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(0x^4\) is a zero term, so it is not counted. The remaining highest power is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(0x^4\) is a zero term, so it is not counted. The remaining highest power is (2).
Step 3
Exam Tip
\(0x^4\) शून्य पद है इसलिए उसे नहीं गिनते। बची हुई सबसे बड़ी घात (2) है।
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बहुपद \(3x^6+x^2-5\) की डिग्री क्या है?
What is the degree of the polynomial \(3x^6+x^2-5\)?
#polynomial
#degree
#higher_power
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A (2)
B (3)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6). Therefore the degree of the polynomial is (6).
Step 2
Why this answer is correct
The correct answer is D. (6). The highest power is (6). Therefore the degree of the polynomial is (6).
Step 3
Exam Tip
सबसे बड़ी घात (6) है। इसलिए बहुपद की डिग्री (6) होगी।
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बहुपद \(3x^4+x^3+5\) की डिग्री किस पद से तय होती है?
The degree of \(3x^4+x^3+5\) is decided by which term?
#polynomial
#leading_term
#degree
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A \(3x^4\)
B \(x^3\)
C (5)
D (3)
Explanation opens after your attempt
Correct Answer
A. \(3x^4\)
Step 1
Concept
The degree is decided by the term with the highest power. Here the highest power (4) is in \(3x^4\).
Step 2
Why this answer is correct
The correct answer is A. \(3x^4\). The degree is decided by the term with the highest power. Here the highest power (4) is in \(3x^4\).
Step 3
Exam Tip
डिग्री सबसे बड़ी घात वाले पद से तय होती है। यहां सबसे बड़ी घात (4) वाले पद \(3x^4\) में है।
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बहुपद \(x^4+x^3+x^2+x+1\) की डिग्री क्या है?
What is the degree of the polynomial \(x^4+x^3+x^2+x+1\)?
#polynomial
#degree
#standard_form
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power in this polynomial is (4). So its degree is (4).
Step 2
Why this answer is correct
The correct answer is D. (4). The highest power in this polynomial is (4). So its degree is (4).
Step 3
Exam Tip
इस बहुपद में सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (4) है।
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बहुपद \(x^2+x^7+4x\) की डिग्री क्या है?
What is the degree of the polynomial \(x^2+x^7+4x\)?
#polynomial
#degree
#unordered_terms
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A (1)
B (2)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
Terms may be in any order, but the highest power is (7). Therefore the degree is (7).
Step 2
Why this answer is correct
The correct answer is D. (7). Terms may be in any order, but the highest power is (7). Therefore the degree is (7).
Step 3
Exam Tip
पद किसी भी क्रम में हों, सबसे बड़ी घात (7) है। इसलिए डिग्री (7) है।
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बहुपद \(9x^2\) की डिग्री क्या है?
What is the degree of the polynomial \(9x^2\)?
#polynomial
#monomial
#degree
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A (0)
B (2)
C (9)
D (11)
Explanation opens after your attempt
Step 1
Concept
In \(9x^2\), the power of (x) is (2). Therefore its degree is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). In \(9x^2\), the power of (x) is (2). Therefore its degree is (2).
Step 3
Exam Tip
\(9x^2\) में (x) की घात (2) है। इसलिए इसकी डिग्री (2) है।
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बहुपद \(5x^3-2x^3+6x-1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(5x^3-2x^3+6x-1\), what will be the degree?
#polynomial
#simplification
#degree
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A (1)
B (2)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
After simplification, we get \(3x^3+6x-1\). The highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). After simplification, we get \(3x^3+6x-1\). The highest power is (3).
Step 3
Exam Tip
सरल करने पर \(3x^3+6x-1\) मिलता है। सबसे बड़ी घात (3) है।
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किस बहुपद की डिग्री (3) है?
Which polynomial has degree (3)?
#polynomial
#degree
#cubic
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A \(4x^2+1\)
B (7x-5)
C \(2x^3+6\)
D (12)
Explanation opens after your attempt
Correct Answer
C. \(2x^3+6\)
Step 1
Concept
In \(2x^3+6\), the highest power is (3). Therefore its degree is (3).
Step 2
Why this answer is correct
The correct answer is C. \(2x^3+6\). In \(2x^3+6\), the highest power is (3). Therefore its degree is (3).
Step 3
Exam Tip
\(2x^3+6\) में सबसे बड़ी घात (3) है। इसलिए इसकी डिग्री (3) है।
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किस बहुपद की डिग्री (2) है?
Which polynomial has degree (2)?
#polynomial
#degree
#quadratic
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A (7x+2)
B \(4x^2-5x+9\)
C \(3x^3+1\)
D (8)
Explanation opens after your attempt
Correct Answer
B. \(4x^2-5x+9\)
Step 1
Concept
In \(4x^2-5x+9\), the highest power is (2). Therefore its degree is (2).
Step 2
Why this answer is correct
The correct answer is B. \(4x^2-5x+9\). In \(4x^2-5x+9\), the highest power is (2). Therefore its degree is (2).
Step 3
Exam Tip
\(4x^2-5x+9\) में सबसे बड़ी घात (2) है। इसलिए इसकी डिग्री (2) है।
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बहुपद \(4+3x^2-2x^5\) की डिग्री क्या है?
What is the degree of the polynomial \(4+3x^2-2x^5\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
Terms may be in any order, but degree comes from the highest power. Here the highest power is (5).
Step 2
Why this answer is correct
The correct answer is D. (5). Terms may be in any order, but degree comes from the highest power. Here the highest power is (5).
Step 3
Exam Tip
पद किसी भी क्रम में हों, डिग्री सबसे बड़ी घात से मिलती है। यहां सबसे बड़ी घात (5) है।
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बहुपद \(-2x^6+9x^4-x+3\) की डिग्री क्या है?
What is the degree of \(-2x^6+9x^4-x+3\)?
#polynomial
#degree
#highest_power
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A (3)
B (4)
C (6)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6) and its coefficient is not zero. Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power is (6) and its coefficient is not zero. Therefore the degree is (6).
Step 3
Exam Tip
सबसे बड़ी घात (6) है और उसका गुणांक शून्य नहीं है। इसलिए डिग्री (6) है।
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बहुपद \(8x^4-6x+11\) की डिग्री क्या है?
What is the degree of the polynomial \(8x^4-6x+11\)?
#polynomial
#degree
#highest_power
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4). The degree of a polynomial is found from the highest power.
Step 2
Why this answer is correct
The correct answer is D. (4). The highest power is (4). The degree of a polynomial is found from the highest power.
Step 3
Exam Tip
सबसे बड़ी घात (4) है। बहुपद की डिग्री सबसे बड़ी घात से मिलती है।
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बहुपद \(15x^2+9x-4\) की डिग्री क्या है?
What is the degree of \(15x^2+9x-4\)?
#polynomial
#degree
#quadratic
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A (2)
B (4)
C (9)
D (15)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) in it is (2). Therefore the degree is (2).
Step 2
Why this answer is correct
The correct answer is A. (2). The highest power of (x) in it is (2). Therefore the degree is (2).
Step 3
Exam Tip
इसमें (x) की सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है।
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बहुपद (21) की डिग्री क्या है?
What is the degree of the polynomial (21)?
#polynomial
#constant
#degree_zero
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A (21)
B (0)
C (1)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
(21) is a non-zero constant polynomial. A non-zero constant polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is B. (0). (21) is a non-zero constant polynomial. A non-zero constant polynomial has degree (0).
Step 3
Exam Tip
(21) अशून्य नियतांक बहुपद है। अशून्य नियतांक बहुपद की डिग्री (0) होती है।
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बहुपद \(0x^6+5x^3-2\) की डिग्री क्या है?
What is the degree of \(0x^6+5x^3-2\)?
#polynomial
#zero_coefficient
#degree
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A (6)
B (5)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(0x^6\) is a zero term so it is not counted. The remaining highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(0x^6\) is a zero term so it is not counted. The remaining highest power is (3).
Step 3
Exam Tip
\(0x^6\) शून्य पद है इसलिए उसे नहीं गिनते। बची हुई सबसे बड़ी घात (3) है।
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बहुपद \(x^9+3x^2-7x\) की डिग्री क्या है?
What is the degree of \(x^9+3x^2-7x\)?
#polynomial
#degree
#higher_power
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A (2)
B (3)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (9). Therefore the degree of this polynomial is (9).
Step 2
Why this answer is correct
The correct answer is D. (9). The highest power is (9). Therefore the degree of this polynomial is (9).
Step 3
Exam Tip
सबसे बड़ी घात (9) है। इसलिए इस बहुपद की डिग्री (9) है।
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बहुपद \(4+2x^5-x^2\) की डिग्री क्या है?
What is the degree of \(4+2x^5-x^2\)?
#polynomial
#degree
#unordered_terms
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A (5)
B (4)
C (2)
D (1)
Explanation opens after your attempt
Step 1
Concept
The terms are not in descending order but the highest power is (5). The degree will be (5).
Step 2
Why this answer is correct
The correct answer is A. (5). The terms are not in descending order but the highest power is (5). The degree will be (5).
Step 3
Exam Tip
पद घटते क्रम में नहीं हैं लेकिन सबसे बड़ी घात (5) है। डिग्री (5) होगी।
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बहुपद \(3x^3-3x^3+8x^2-1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(3x^3-3x^3+8x^2-1\), what will be the degree?
#polynomial
#simplification
#degree
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A (3)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(3x^3-3x^3=0\), so the simplified form is \(8x^2-1\). Its degree is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). \(3x^3-3x^3=0\), so the simplified form is \(8x^2-1\). Its degree is (2).
Step 3
Exam Tip
\(3x^3-3x^3=0\), इसलिए सरल रूप \(8x^2-1\) है। इसकी डिग्री (2) है।
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किस बहुपद की डिग्री (1) है?
Which polynomial has degree (1)?
#polynomial
#degree
#linear
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A \(7x^2+1\)
B \(x^3-5\)
C (-12x+4)
D (16)
Explanation opens after your attempt
Correct Answer
C. (-12x+4)
Step 1
Concept
In (-12x+4), the highest power is (1). Therefore its degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (-12x+4). In (-12x+4), the highest power is (1). Therefore its degree is (1).
Step 3
Exam Tip
(-12x+4) में सबसे बड़ी घात (1) है। इसलिए इसकी डिग्री (1) है।
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बहुपद \(11x^8-4x^6+x^2+3\) की डिग्री क्या है?
What is the degree of \(11x^8-4x^6+x^2+3\)?
#polynomial
#degree
#coefficient_confusion
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A (2)
B (6)
C (8)
D (11)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8). The coefficient (11) is not the degree.
Step 2
Why this answer is correct
The correct answer is C. (8). The highest power is (8). The coefficient (11) is not the degree.
Step 3
Exam Tip
सबसे बड़ी घात (8) है। गुणांक (11) डिग्री नहीं होता।
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बहुपद \(-5x^7+2x-10\) की डिग्री क्या है?
What is the degree of \(-5x^7+2x-10\)?
#polynomial
#degree
#highest_power
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A (7)
B (5)
C (2)
D (10)
Explanation opens after your attempt
Step 1
Concept
The highest power is (7) and its coefficient is not zero. Therefore the degree is (7).
Step 2
Why this answer is correct
The correct answer is A. (7). The highest power is (7) and its coefficient is not zero. Therefore the degree is (7).
Step 3
Exam Tip
सबसे बड़ी घात (7) है और उसका गुणांक शून्य नहीं है। इसलिए डिग्री (7) है।
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बहुपद \(2x^4+0x^3+0x^2+6\) की डिग्री क्या है?
What is the degree of \(2x^4+0x^3+0x^2+6\)?
#polynomial
#zero_coefficient
#degree
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A (2)
B (3)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
Terms with zero coefficients do not change the degree. The highest non-zero power is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). Terms with zero coefficients do not change the degree. The highest non-zero power is (4).
Step 3
Exam Tip
शून्य गुणांक वाले पद डिग्री नहीं बदलते। सबसे बड़ी अशून्य घात (4) है।
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किस विकल्प में बहुपद की डिग्री (3) है?
In which option is the degree of the polynomial (3)?
#polynomial
#degree
#cubic
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A \(5x^3-2x+1\)
B \(4x^2+7\)
C (9x-1)
D (18)
Explanation opens after your attempt
Correct Answer
A. \(5x^3-2x+1\)
Step 1
Concept
In \(5x^3-2x+1\), the highest power is (3). Therefore its degree is (3).
Step 2
Why this answer is correct
The correct answer is A. \(5x^3-2x+1\). In \(5x^3-2x+1\), the highest power is (3). Therefore its degree is (3).
Step 3
Exam Tip
\(5x^3-2x+1\) में सबसे बड़ी घात (3) है। इसलिए इसकी डिग्री (3) है।
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बहुपद \(x^4+x^4+x^2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(x^4+x^4+x^2\), what will be the degree?
#polynomial
#simplification
#like_terms
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A (2)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(2x^4+x^2\). The highest power in it is (4).
Step 2
Why this answer is correct
The correct answer is B. (4). The simplified form is \(2x^4+x^2\). The highest power in it is (4).
Step 3
Exam Tip
सरल रूप \(2x^4+x^2\) है। इसमें सबसे बड़ी घात (4) है।
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बहुपद (-33) की डिग्री क्या है?
What is the degree of the polynomial (-33)?
#polynomial
#constant
#degree_zero
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A (0)
B (1)
C (33)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
(-33) is a non-zero constant polynomial. Such a polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is A. (0). (-33) is a non-zero constant polynomial. Such a polynomial has degree (0).
Step 3
Exam Tip
(-33) अशून्य नियतांक बहुपद है। ऐसे बहुपद की डिग्री (0) होती है।
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बहुपद \(0x^5+0x^2+9x-6\) की डिग्री क्या है?
What is the degree of \(0x^5+0x^2+9x-6\)?
#polynomial
#zero_coefficient
#linear_degree
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A (5)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
Terms with zero coefficients disappear and (9x-6) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (1). Terms with zero coefficients disappear and (9x-6) remains. Its degree is (1).
Step 3
Exam Tip
शून्य गुणांक वाले पद हट जाते हैं और (9x-6) बचता है। इसकी डिग्री (1) है।
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बहुपद \(10x^2+x^6-4x^3+1\) की डिग्री क्या है?
What is the degree of \(10x^2+x^6-4x^3+1\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (3)
C (6)
D (10)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6). The order of terms does not change the degree.
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power is (6). The order of terms does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (6) है। पदों का क्रम डिग्री को नहीं बदलता।
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किस बहुपद की डिग्री (0) है?
Which polynomial has degree (0)?
#polynomial
#degree_zero
#constant
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A (0)
B (5x)
C (-6)
D \(x^2+6\)
Explanation opens after your attempt
Step 1
Concept
(-6) is a non-zero constant polynomial. Its degree is (0).
Step 2
Why this answer is correct
The correct answer is C. (-6). (-6) is a non-zero constant polynomial. Its degree is (0).
Step 3
Exam Tip
(-6) अशून्य नियतांक बहुपद है। इसकी डिग्री (0) होती है।
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बहुपद \(x^{10}-x^3+2\) की डिग्री क्या है?
What is the degree of \(x^{10}-x^3+2\)?
#polynomial
#degree
#power_ten
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A (3)
B (10)
C (13)
D (2)
Explanation opens after your attempt
Step 1
Concept
The highest power is (10). Therefore the degree of the polynomial is (10).
Step 2
Why this answer is correct
The correct answer is B. (10). The highest power is (10). Therefore the degree of the polynomial is (10).
Step 3
Exam Tip
सबसे बड़ी घात (10) है। इसलिए बहुपद की डिग्री (10) है।
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बहुपद \(7x^3+2x^2-5x+12\) में डिग्री किससे मिलेगी?
From what will the degree of \(7x^3+2x^2-5x+12\) be obtained?
#polynomial
#degree
#concept
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A नियतांक पद (12) से / From the constant term (12)
B सबसे बड़े गुणांक (7) से / From the largest coefficient (7)
C सबसे बड़ी घात (3) से / From the highest power (3)
D पदों की संख्या (4) से / From the number of terms (4)
Explanation opens after your attempt
Correct Answer
C. सबसे बड़ी घात (3) से / From the highest power (3)
Step 1
Concept
The degree is not found from the coefficient or number of terms. It is found from the highest power.
Step 2
Why this answer is correct
The correct answer is C. सबसे बड़ी घात (3) से / From the highest power (3). The degree is not found from the coefficient or number of terms. It is found from the highest power.
Step 3
Exam Tip
डिग्री गुणांक या पदों की संख्या से नहीं मिलती। यह सबसे बड़ी घात से मिलती है।
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बहुपद \(2x^2-2x^2+4x-3\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(2x^2-2x^2+4x-3\), what will be the degree?
#polynomial
#simplification
#degree
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A (2)
B (1)
C (0)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
\(2x^2-2x^2=0\), so (4x-3) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). \(2x^2-2x^2=0\), so (4x-3) remains. Its degree is (1).
Step 3
Exam Tip
\(2x^2-2x^2=0\), इसलिए (4x-3) बचता है। इसकी डिग्री (1) है।
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बहुपद \(3x^8-4x^5+6x^2-1\) की डिग्री क्या है?
What is the degree of \(3x^8-4x^5+6x^2-1\)?
#polynomial
#degree
#highest_power
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A (8)
B (6)
C (5)
D (3)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8). Therefore the degree of this polynomial is (8).
Step 2
Why this answer is correct
The correct answer is A. (8). The highest power is (8). Therefore the degree of this polynomial is (8).
Step 3
Exam Tip
सबसे बड़ी घात (8) है। इसलिए इस बहुपद की डिग्री (8) है।
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किस बहुपद की डिग्री (4) नहीं है?
Which polynomial does not have degree (4)?
#polynomial
#degree
#identification
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A \(x^4+1\)
B \(5x^4-2x\)
C \(6x^3+4\)
D \(9x^4+x^2\)
Explanation opens after your attempt
Correct Answer
C. \(6x^3+4\)
Step 1
Concept
In \(6x^3+4\), the highest power is (3). Therefore its degree is not (4).
Step 2
Why this answer is correct
The correct answer is C. \(6x^3+4\). In \(6x^3+4\), the highest power is (3). Therefore its degree is not (4).
Step 3
Exam Tip
\(6x^3+4\) में सबसे बड़ी घात (3) है। इसलिए इसकी डिग्री (4) नहीं है।
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बहुपद \(x^0+5x^2-8\) की डिग्री क्या है?
What is the degree of \(x^0+5x^2-8\)?
#polynomial
#zero_power
#degree
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A (0)
B (1)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (2). Therefore the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(x^0=1\), and the highest power is (2). Therefore the degree is (2).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है।
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बहुपद \(0x^3+0x+0\) की डिग्री क्या है?
What is the degree of \(0x^3+0x+0\)?
#polynomial
#zero_polynomial
#degree
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A (3)
B (1)
C (0)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Correct Answer
D. परिभाषित नहीं / Not defined
Step 1
Concept
This is the zero polynomial. The degree of the zero polynomial is not defined.
Step 2
Why this answer is correct
The correct answer is D. परिभाषित नहीं / Not defined. This is the zero polynomial. The degree of the zero polynomial is not defined.
Step 3
Exam Tip
यह शून्य बहुपद है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।
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बहुपद \(12x^7+0x^9-5\) की डिग्री क्या है?
What is the degree of \(12x^7+0x^9-5\)?
#polynomial
#zero_coefficient
#degree
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A (9)
B (7)
C (5)
D (12)
Explanation opens after your attempt
Step 1
Concept
\(0x^9\) is a zero term and is not counted. The highest non-zero power is (7).
Step 2
Why this answer is correct
The correct answer is B. (7). \(0x^9\) is a zero term and is not counted. The highest non-zero power is (7).
Step 3
Exam Tip
\(0x^9\) शून्य पद है और उसे नहीं गिनते। सबसे बड़ी अशून्य घात (7) है।
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बहुपद \(x+x^2+x^3+x^4\) की डिग्री क्या है?
What is the degree of \(x+x^2+x^3+x^4\)?
#polynomial
#degree
#ascending_order
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4). Therefore the degree of the polynomial is (4).
Step 2
Why this answer is correct
The correct answer is D. (4). The highest power is (4). Therefore the degree of the polynomial is (4).
Step 3
Exam Tip
सबसे बड़ी घात (4) है। इसलिए बहुपद की डिग्री (4) है।
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किस विकल्प में बहुपद की डिग्री (5) है?
Which option has polynomial degree (5)?
#polynomial
#degree
#option_based
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A \(4x^5-3x^2+1\)
B \(4x^4-3x+1\)
C \(4x^3+1\)
D (4x+5)
Explanation opens after your attempt
Correct Answer
A. \(4x^5-3x^2+1\)
Step 1
Concept
In the first polynomial, the highest power is (5). Therefore its degree is (5).
Step 2
Why this answer is correct
The correct answer is A. \(4x^5-3x^2+1\). In the first polynomial, the highest power is (5). Therefore its degree is (5).
Step 3
Exam Tip
पहले बहुपद में सबसे बड़ी घात (5) है। इसलिए उसकी डिग्री (5) है।
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बहुपद \(-x^3+9x^2-4\) की डिग्री क्या है?
What is the degree of \(-x^3+9x^2-4\)?
#polynomial
#degree
#negative_coefficient
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A (2)
B (3)
C (4)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3). A negative coefficient does not change the degree.
Step 2
Why this answer is correct
The correct answer is B. (3). The highest power is (3). A negative coefficient does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (3) है। ऋणात्मक गुणांक होने से डिग्री नहीं बदलती।
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बहुपद \(5x^2+7x^6-2x^4\) की डिग्री क्या है?
What is the degree of \(5x^2+7x^6-2x^4\)?
#polynomial
#degree
#coefficient_confusion
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A (2)
B (4)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6). The coefficient (7) is not the degree, the exponent is.
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power is (6). The coefficient (7) is not the degree, the exponent is.
Step 3
Exam Tip
सबसे बड़ी घात (6) है। गुणांक (7) नहीं बल्कि घात डिग्री बताती है।
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यदि बहुपद की सबसे बड़ी घात (6) है, तो उसकी डिग्री क्या होगी?
If the highest power of a polynomial is (6), what will its degree be?
#polynomial
#degree
#concept
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A (0)
B (1)
C (6)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
The degree of a polynomial is its highest power. Therefore the degree will be (6).
Step 2
Why this answer is correct
The correct answer is C. (6). The degree of a polynomial is its highest power. Therefore the degree will be (6).
Step 3
Exam Tip
बहुपद की डिग्री उसकी सबसे बड़ी घात होती है। इसलिए डिग्री (6) होगी।
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बहुपद \(7x^4-3x^2+5\) की डिग्री क्या है?
What is the degree of the polynomial \(7x^4-3x^2+5\)?
#polynomial
#degree
#highest_power
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A (2)
B (3)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4). To find the degree, look at the highest power.
Step 2
Why this answer is correct
The correct answer is C. (4). The highest power is (4). To find the degree, look at the highest power.
Step 3
Exam Tip
सबसे बड़ी घात (4) है। डिग्री निकालते समय सबसे बड़ी घात देखें।
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बहुपद \(6x^3+4x^2-9\) की डिग्री क्या है?
What is the degree of the polynomial \(6x^3+4x^2-9\)?
#polynomial
#degree
#highest_power
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A (1)
B (2)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3). To find the degree, look at the highest power.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3). To find the degree, look at the highest power.
Step 3
Exam Tip
सबसे बड़ी घात (3) है। डिग्री निकालते समय सबसे बड़ी घात देखें।
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बहुपद (-6x+13) की डिग्री क्या है?
What is the degree of the polynomial (-6x+13)?
#polynomial
#degree
#linear
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A (0)
B (1)
C (6)
D (13)
Explanation opens after your attempt
Step 1
Concept
In (-6x+13), the highest power of (x) is (1). Therefore its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). In (-6x+13), the highest power of (x) is (1). Therefore its degree is (1).
Step 3
Exam Tip
(-6x+13) में (x) की सबसे बड़ी घात (1) है। इसलिए इसकी डिग्री (1) है।
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बहुपद (12x-7) की डिग्री क्या है?
What is the degree of the polynomial (12x-7)?
#polynomial
#degree
#linear
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A (0)
B (1)
C (7)
D (12)
Explanation opens after your attempt
Step 1
Concept
In (12x-7), the highest power of (x) is (1). Therefore its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). In (12x-7), the highest power of (x) is (1). Therefore its degree is (1).
Step 3
Exam Tip
(12x-7) में (x) की सबसे बड़ी घात (1) है। इसलिए इसकी डिग्री (1) है।
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बहुपद \(5x^6+2x^3-x+8\) की डिग्री क्या होगी?
What will be the degree of \(5x^6+2x^3-x+8\)?
#polynomial
#degree
#class9
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A (3)
B (5)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power in this polynomial is (6). Therefore the degree will be (6).
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power in this polynomial is (6). Therefore the degree will be (6).
Step 3
Exam Tip
इस बहुपद में सबसे बड़ी घात (6) है। इसलिए डिग्री (6) होगी।
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बहुपद \(5x^6-2x^4+x+3\) की डिग्री क्या होगी?
What will be the degree of \(5x^6-2x^4+x+3\)?
#polynomial
#degree
#class9
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A (4)
B (5)
C (6)
D (3)
Explanation opens after your attempt
Step 1
Concept
The highest power in this polynomial is (6). Therefore the degree will be (6).
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power in this polynomial is (6). Therefore the degree will be (6).
Step 3
Exam Tip
इस बहुपद में सबसे बड़ी घात (6) है। इसलिए डिग्री (6) होगी।
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अशून्य नियतांक बहुपद (27) की डिग्री क्या है?
What is the degree of the non-zero constant polynomial (27)?
#polynomial
#constant
#degree_zero
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A (0)
B (1)
C (27)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). (27) can be considered as \(27x^0\).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). (27) can be considered as \(27x^0\).
Step 3
Exam Tip
अशून्य नियतांक बहुपद की डिग्री (0) होती है। (27) को \(27x^0\) माना जा सकता है।
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बहुपद \(0x^5+4x^2-9x+6\) की डिग्री क्या है?
What is the degree of \(0x^5+4x^2-9x+6\)?
#polynomial
#zero_coefficient
#degree
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A (5)
B (4)
C (2)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(0x^5\) is a zero term, so it is not counted. The remaining highest power is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(0x^5\) is a zero term, so it is not counted. The remaining highest power is (2).
Step 3
Exam Tip
\(0x^5\) शून्य पद है, इसलिए उसे नहीं गिनते। बची हुई सबसे बड़ी घात (2) है।
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बहुपद \(0x^5+8x^2-3x+4\) की डिग्री क्या है?
What is the degree of \(0x^5+8x^2-3x+4\)?
#polynomial
#zero_coefficient
#degree
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A (5)
B (3)
C (2)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(0x^5\) is a zero term so it is not counted. The remaining highest power is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(0x^5\) is a zero term so it is not counted. The remaining highest power is (2).
Step 3
Exam Tip
\(0x^5\) शून्य पद है इसलिए उसे नहीं गिनते। बची हुई सबसे बड़ी घात (2) है।
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बहुपद \(2x^5+9x^3-4\) की डिग्री किस पद से तय होती है?
The degree of \(2x^5+9x^3-4\) is decided by which term?
#polynomial
#leading_term
#degree
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A \(2x^5\)
B \(9x^3\)
C (-4)
D (9)
Explanation opens after your attempt
Correct Answer
A. \(2x^5\)
Step 1
Concept
The degree is decided by the term with the highest power. Here the highest power (5) is in \(2x^5\).
Step 2
Why this answer is correct
The correct answer is A. \(2x^5\). The degree is decided by the term with the highest power. Here the highest power (5) is in \(2x^5\).
Step 3
Exam Tip
डिग्री सबसे बड़ी घात वाले पद से तय होती है। यहां सबसे बड़ी घात (5) वाले पद \(2x^5\) में है।
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बहुपद \(3x^4+7x^2-5\) की डिग्री किस पद से तय होती है?
The degree of \(3x^4+7x^2-5\) is decided by which term?
#polynomial
#leading_term
#degree
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A \(3x^4\)
B \(7x^2\)
C (-5)
D (7)
Explanation opens after your attempt
Correct Answer
A. \(3x^4\)
Step 1
Concept
The degree is decided by the term with the highest power. Here the highest power (4) is in \(3x^4\).
Step 2
Why this answer is correct
The correct answer is A. \(3x^4\). The degree is decided by the term with the highest power. Here the highest power (4) is in \(3x^4\).
Step 3
Exam Tip
डिग्री सबसे बड़ी घात वाले पद से तय होती है। यहां सबसे बड़ी घात (4) वाले पद \(3x^4\) में है।
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बहुपद \(x^3+x^8+2x^2\) की डिग्री क्या है?
What is the degree of the polynomial \(x^3+x^8+2x^2\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (3)
C (8)
D (13)
Explanation opens after your attempt
Step 1
Concept
Terms may be in any order, but the highest power is (8). Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). Terms may be in any order, but the highest power is (8). Therefore the degree is (8).
Step 3
Exam Tip
पद किसी भी क्रम में हों, सबसे बड़ी घात (8) है। इसलिए डिग्री (8) है।
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बहुपद \(x^2+x^7+5x\) की डिग्री क्या है?
What is the degree of the polynomial \(x^2+x^7+5x\)?
#polynomial
#degree
#unordered_terms
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A (1)
B (2)
C (5)
D (7)
Explanation opens after your attempt
Step 1
Concept
Terms may be in any order but the highest power is (7). Therefore the degree is (7).
Step 2
Why this answer is correct
The correct answer is D. (7). Terms may be in any order but the highest power is (7). Therefore the degree is (7).
Step 3
Exam Tip
पद किसी भी क्रम में हों पर सबसे बड़ी घात (7) है। इसलिए डिग्री (7) है।
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बहुपद \(4x^4-4x^4+7x-2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(4x^4-4x^4+7x-2\), what will be the degree?
#polynomial
#simplification
#degree
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A (4)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(4x^4-4x^4=0\), so (7x-2) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (1). \(4x^4-4x^4=0\), so (7x-2) remains. Its degree is (1).
Step 3
Exam Tip
\(4x^4-4x^4=0\), इसलिए (7x-2) बचता है। इसकी डिग्री (1) है।
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बहुपद \(6x^3-6x^3+9x-2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(6x^3-6x^3+9x-2\), what will be the degree?
#polynomial
#simplification
#degree
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A (3)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(6x^3-6x^3=0\) so (9x-2) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (1). \(6x^3-6x^3=0\) so (9x-2) remains. Its degree is (1).
Step 3
Exam Tip
\(6x^3-6x^3=0\) इसलिए (9x-2) बचता है। इसकी डिग्री (1) है।
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बहुपद \(-9x^7+4x^4-x^2+1\) की डिग्री क्या है?
What is the degree of \(-9x^7+4x^4-x^2+1\)?
#polynomial
#degree
#highest_power
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A (4)
B (7)
C (9)
D (1)
Explanation opens after your attempt
Step 1
Concept
The highest power is (7) and its coefficient is not zero. Therefore the degree is (7).
Step 2
Why this answer is correct
The correct answer is B. (7). The highest power is (7) and its coefficient is not zero. Therefore the degree is (7).
Step 3
Exam Tip
सबसे बड़ी घात (7) है और उसका गुणांक शून्य नहीं है। इसलिए डिग्री (7) है।
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बहुपद \(-4x^8+3x^5-x^2+6\) की डिग्री क्या है?
What is the degree of \(-4x^8+3x^5-x^2+6\)?
#polynomial
#degree
#highest_power
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A (4)
B (5)
C (8)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8) and its coefficient is not zero. Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). The highest power is (8) and its coefficient is not zero. Therefore the degree is (8).
Step 3
Exam Tip
सबसे बड़ी घात (8) है और उसका गुणांक शून्य नहीं है। इसलिए डिग्री (8) है।
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बहुपद \(9x^4-6x+11\) की डिग्री क्या है?
What is the degree of the polynomial \(9x^4-6x+11\)?
#polynomial
#degree
#coefficient_confusion
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A (1)
B (4)
C (6)
D (11)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4). The coefficient (9) is not the degree.
Step 2
Why this answer is correct
The correct answer is B. (4). The highest power is (4). The coefficient (9) is not the degree.
Step 3
Exam Tip
सबसे बड़ी घात (4) है। गुणांक (9) डिग्री नहीं होता।
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बहुपद \(14x^2-5x+1\) की डिग्री क्या है?
What is the degree of \(14x^2-5x+1\)?
#polynomial
#degree
#quadratic
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A (2)
B (5)
C (14)
D (1)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) in it is (2). Therefore its degree is (2).
Step 2
Why this answer is correct
The correct answer is A. (2). The highest power of (x) in it is (2). Therefore its degree is (2).
Step 3
Exam Tip
इसमें (x) की सबसे बड़ी घात (2) है। इसलिए इसकी डिग्री (2) है।
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बहुपद (-31) की डिग्री क्या है?
What is the degree of the polynomial (-31)?
#polynomial
#constant
#degree_zero
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A (31)
B (0)
C (1)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
(-31) is a non-zero constant polynomial. Such a polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is B. (0). (-31) is a non-zero constant polynomial. Such a polynomial has degree (0).
Step 3
Exam Tip
(-31) अशून्य नियतांक बहुपद है। ऐसे बहुपद की डिग्री (0) होती है।
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बहुपद \(0x^6+7x^3-4\) की डिग्री क्या है?
What is the degree of \(0x^6+7x^3-4\)?
#polynomial
#zero_coefficient
#degree
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A (6)
B (7)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(0x^6\) is a zero term so it is not counted. The highest non-zero power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(0x^6\) is a zero term so it is not counted. The highest non-zero power is (3).
Step 3
Exam Tip
\(0x^6\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (3) है।
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बहुपद \(x^{10}+2x^4-9x\) की डिग्री क्या है?
What is the degree of \(x^{10}+2x^4-9x\)?
#polynomial
#degree
#higher_power
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A (4)
B (9)
C (10)
D (15)
Explanation opens after your attempt
Step 1
Concept
The highest power is (10). Therefore the degree of this polynomial is (10).
Step 2
Why this answer is correct
The correct answer is C. (10). The highest power is (10). Therefore the degree of this polynomial is (10).
Step 3
Exam Tip
सबसे बड़ी घात (10) है। इसलिए इस बहुपद की डिग्री (10) है।
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बहुपद \(5+3x^6-x^2\) की डिग्री क्या है?
What is the degree of \(5+3x^6-x^2\)?
#polynomial
#degree
#unordered_terms
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A (6)
B (5)
C (3)
D (2)
Explanation opens after your attempt
Step 1
Concept
The terms are not in descending order but the highest power is (6). Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The terms are not in descending order but the highest power is (6). Therefore the degree is (6).
Step 3
Exam Tip
पद घटते क्रम में नहीं हैं पर सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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बहुपद \(4x^4-4x^4+6x^2-1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(4x^4-4x^4+6x^2-1\), what will be the degree?
#polynomial
#simplification
#degree
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A (4)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(4x^4-4x^4=0\) so \(6x^2-1\) remains. Its degree is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). \(4x^4-4x^4=0\) so \(6x^2-1\) remains. Its degree is (2).
Step 3
Exam Tip
\(4x^4-4x^4=0\) इसलिए \(6x^2-1\) बचता है। इसकी डिग्री (2) है।
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बहुपद \(13x^9-4x^6+x^2+3\) की डिग्री क्या है?
What is the degree of \(13x^9-4x^6+x^2+3\)?
#polynomial
#degree
#coefficient_confusion
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A (2)
B (6)
C (9)
D (13)
Explanation opens after your attempt
Step 1
Concept
The highest power is (9). The coefficient (13) is not the degree.
Step 2
Why this answer is correct
The correct answer is C. (9). The highest power is (9). The coefficient (13) is not the degree.
Step 3
Exam Tip
सबसे बड़ी घात (9) है। गुणांक (13) डिग्री नहीं होता।
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बहुपद \(-7x^5+2x-10\) की डिग्री क्या है?
What is the degree of \(-7x^5+2x-10\)?
#polynomial
#degree
#highest_power
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A (5)
B (7)
C (2)
D (10)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5) and its coefficient is not zero. Therefore the degree is (5).
Step 2
Why this answer is correct
The correct answer is A. (5). The highest power is (5) and its coefficient is not zero. Therefore the degree is (5).
Step 3
Exam Tip
सबसे बड़ी घात (5) है और उसका गुणांक शून्य नहीं है। इसलिए डिग्री (5) है।
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बहुपद \(3x^4+0x^3+0x^2+8\) की डिग्री क्या है?
What is the degree of \(3x^4+0x^3+0x^2+8\)?
#polynomial
#zero_coefficient
#degree
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A (2)
B (3)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
Terms with zero coefficients do not change the degree. The highest non-zero power is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). Terms with zero coefficients do not change the degree. The highest non-zero power is (4).
Step 3
Exam Tip
शून्य गुणांक वाले पद डिग्री नहीं बदलते। सबसे बड़ी अशून्य घात (4) है।
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बहुपद \(x^5+x^5+x^2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(x^5+x^5+x^2\), what will be the degree?
#polynomial
#simplification
#like_terms
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A (2)
B (5)
C (7)
D (10)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(2x^5+x^2\). The highest power in it is (5).
Step 2
Why this answer is correct
The correct answer is B. (5). The simplified form is \(2x^5+x^2\). The highest power in it is (5).
Step 3
Exam Tip
सरल रूप \(2x^5+x^2\) है। इसमें सबसे बड़ी घात (5) है।
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बहुपद \(0x^4+0x^2+11x-6\) की डिग्री क्या है?
What is the degree of \(0x^4+0x^2+11x-6\)?
#polynomial
#zero_coefficient
#linear_degree
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A (4)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
Terms with zero coefficients disappear and (11x-6) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (1). Terms with zero coefficients disappear and (11x-6) remains. Its degree is (1).
Step 3
Exam Tip
शून्य गुणांक वाले पद हट जाते हैं और (11x-6) बचता है। इसकी डिग्री (1) है।
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बहुपद \(12x^2+x^7-4x^3+1\) की डिग्री क्या है?
What is the degree of \(12x^2+x^7-4x^3+1\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (3)
C (7)
D (12)
Explanation opens after your attempt
Step 1
Concept
The highest power is (7). The order of terms does not change the degree.
Step 2
Why this answer is correct
The correct answer is C. (7). The highest power is (7). The order of terms does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (7) है। पदों का क्रम डिग्री को नहीं बदलता।
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बहुपद \(x^{11}-x^4+5\) की डिग्री क्या है?
What is the degree of \(x^{11}-x^4+5\)?
#polynomial
#degree
#power_eleven
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A (4)
B (11)
C (15)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (11). Therefore the degree of the polynomial is (11).
Step 2
Why this answer is correct
The correct answer is B. (11). The highest power is (11). Therefore the degree of the polynomial is (11).
Step 3
Exam Tip
सबसे बड़ी घात (11) है। इसलिए बहुपद की डिग्री (11) है।
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बहुपद \(8x^3+4x^2-7x+12\) में डिग्री किससे मिलेगी?
From what will the degree of \(8x^3+4x^2-7x+12\) be obtained?
#polynomial
#degree
#concept
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A नियतांक पद (12) से / From the constant term (12)
B सबसे बड़े गुणांक (8) से / From the largest coefficient (8)
C सबसे बड़ी घात (3) से / From the highest power (3)
D पदों की संख्या (4) से / From the number of terms (4)
Explanation opens after your attempt
Correct Answer
C. सबसे बड़ी घात (3) से / From the highest power (3)
Step 1
Concept
The degree is not found from the coefficient or number of terms. It is found from the highest power.
Step 2
Why this answer is correct
The correct answer is C. सबसे बड़ी घात (3) से / From the highest power (3). The degree is not found from the coefficient or number of terms. It is found from the highest power.
Step 3
Exam Tip
डिग्री गुणांक या पदों की संख्या से नहीं मिलती। यह सबसे बड़ी घात से मिलती है।
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बहुपद \(5x^2-5x^2+6x-3\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(5x^2-5x^2+6x-3\), what will be the degree?
#polynomial
#simplification
#degree
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A (2)
B (1)
C (0)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
\(5x^2-5x^2=0\) so (6x-3) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). \(5x^2-5x^2=0\) so (6x-3) remains. Its degree is (1).
Step 3
Exam Tip
\(5x^2-5x^2=0\) इसलिए (6x-3) बचता है। इसकी डिग्री (1) है।
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बहुपद \(4x^8-6x^5+7x^2-1\) की डिग्री क्या है?
What is the degree of \(4x^8-6x^5+7x^2-1\)?
#polynomial
#degree
#highest_power
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A (8)
B (7)
C (6)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8). Therefore the degree of this polynomial is (8).
Step 2
Why this answer is correct
The correct answer is A. (8). The highest power is (8). Therefore the degree of this polynomial is (8).
Step 3
Exam Tip
सबसे बड़ी घात (8) है। इसलिए इस बहुपद की डिग्री (8) है।
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बहुपद \(x^0+9x^2-4\) की डिग्री क्या है?
What is the degree of \(x^0+9x^2-4\)?
#polynomial
#zero_power
#degree
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A (0)
B (1)
C (2)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\) and the highest power is (2). Therefore the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(x^0=1\) and the highest power is (2). Therefore the degree is (2).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है।
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बहुपद \(15x^6+0x^8-4\) की डिग्री क्या है?
What is the degree of \(15x^6+0x^8-4\)?
#polynomial
#zero_coefficient
#degree
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A (8)
B (6)
C (4)
D (15)
Explanation opens after your attempt
Step 1
Concept
\(0x^8\) is a zero term and is not counted. The highest non-zero power is (6).
Step 2
Why this answer is correct
The correct answer is B. (6). \(0x^8\) is a zero term and is not counted. The highest non-zero power is (6).
Step 3
Exam Tip
\(0x^8\) शून्य पद है और उसे नहीं गिनते। सबसे बड़ी अशून्य घात (6) है।
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बहुपद \(x+x^2+x^3+x^5\) की डिग्री क्या है?
What is the degree of \(x+x^2+x^3+x^5\)?
#polynomial
#degree
#ascending_order
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A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5). Therefore the degree of the polynomial is (5).
Step 2
Why this answer is correct
The correct answer is D. (5). The highest power is (5). Therefore the degree of the polynomial is (5).
Step 3
Exam Tip
सबसे बड़ी घात (5) है। इसलिए बहुपद की डिग्री (5) है।
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किस विकल्प में बहुपद की डिग्री (6) है?
Which option has polynomial degree (6)?
#polynomial
#degree
#option_based
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A \(3x^6-2x^2+1\)
B \(3x^5-2x+1\)
C \(3x^4+1\)
D (3x+6)
Explanation opens after your attempt
Correct Answer
A. \(3x^6-2x^2+1\)
Step 1
Concept
In the first polynomial, the highest power is (6). Therefore its degree is (6).
Step 2
Why this answer is correct
The correct answer is A. \(3x^6-2x^2+1\). In the first polynomial, the highest power is (6). Therefore its degree is (6).
Step 3
Exam Tip
पहले बहुपद में सबसे बड़ी घात (6) है। इसलिए उसकी डिग्री (6) है।
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बहुपद \(-x^4+8x^2-6\) की डिग्री क्या है?
What is the degree of \(-x^4+8x^2-6\)?
#polynomial
#degree
#negative_coefficient
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A (2)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4). A negative coefficient does not change the degree.
Step 2
Why this answer is correct
The correct answer is B. (4). The highest power is (4). A negative coefficient does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (4) है। ऋणात्मक गुणांक होने से डिग्री नहीं बदलती।
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बहुपद \(6x^2+5x^7-3x^4\) की डिग्री क्या है?
What is the degree of \(6x^2+5x^7-3x^4\)?
#polynomial
#degree
#coefficient_confusion
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A (2)
B (4)
C (7)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (7). The coefficient (5) is not the degree, the exponent is.
Step 2
Why this answer is correct
The correct answer is C. (7). The highest power is (7). The coefficient (5) is not the degree, the exponent is.
Step 3
Exam Tip
सबसे बड़ी घात (7) है। गुणांक (5) नहीं बल्कि घात डिग्री बताती है।
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यदि बहुपद की सबसे बड़ी घात (9) है तो उसकी डिग्री क्या होगी?
If the highest power of a polynomial is (9), what will its degree be?
#polynomial
#degree
#concept
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A (0)
B (1)
C (9)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
The degree of a polynomial is its highest power. Therefore the degree will be (9).
Step 2
Why this answer is correct
The correct answer is C. (9). The degree of a polynomial is its highest power. Therefore the degree will be (9).
Step 3
Exam Tip
बहुपद की डिग्री उसकी सबसे बड़ी घात होती है। इसलिए डिग्री (9) होगी।
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बहुपद \(2x^3+9x^3-4x+1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(2x^3+9x^3-4x+1\), what will be the degree?
#polynomial
#simplification
#like_terms
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A (1)
B (2)
C (3)
D (11)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(11x^3-4x+1\). The highest power in it is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). The simplified form is \(11x^3-4x+1\). The highest power in it is (3).
Step 3
Exam Tip
सरल रूप \(11x^3-4x+1\) है। इसमें सबसे बड़ी घात (3) है।
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बहुपद \(4x^2-1+6x^5\) की डिग्री क्या है?
What is the degree of \(4x^2-1+6x^5\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5). Changing the order of terms does not change the degree.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5). Changing the order of terms does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (5) है। पदों का क्रम बदलने से डिग्री नहीं बदलती।
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बहुपद \(0x^{10}+3x^4-2x+7\) की डिग्री क्या है?
What is the degree of \(0x^{10}+3x^4-2x+7\)?
#polynomial
#zero_coefficient
#degree
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A (10)
B (4)
C (3)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(0x^{10}\) is a zero term so it is not counted. The highest non-zero power is (4).
Step 2
Why this answer is correct
The correct answer is B. (4). \(0x^{10}\) is a zero term so it is not counted. The highest non-zero power is (4).
Step 3
Exam Tip
\(0x^{10}\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (4) है।
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बहुपद \(9x^6-9x^6+5x^2+1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(9x^6-9x^6+5x^2+1\), what will be the degree?
#polynomial
#simplification
#degree
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A (6)
B (5)
C (2)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(9x^6-9x^6=0\) so \(5x^2+1\) remains. Its degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(9x^6-9x^6=0\) so \(5x^2+1\) remains. Its degree is (2).
Step 3
Exam Tip
\(9x^6-9x^6=0\) इसलिए \(5x^2+1\) बचता है। इसकी डिग्री (2) है।
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किस बहुपद की डिग्री (7) है?
Which polynomial has degree (7)?
#polynomial
#degree
#option_based
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A \(2x^6+3\)
B \(4x^7-x^2+5\)
C (7x+4)
D (19)
Explanation opens after your attempt
Correct Answer
B. \(4x^7-x^2+5\)
Step 1
Concept
In \(4x^7-x^2+5\), the highest power is (7). Therefore its degree is (7).
Step 2
Why this answer is correct
The correct answer is B. \(4x^7-x^2+5\). In \(4x^7-x^2+5\), the highest power is (7). Therefore its degree is (7).
Step 3
Exam Tip
\(4x^7-x^2+5\) में सबसे बड़ी घात (7) है। इसलिए इसकी डिग्री (7) है।
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बहुपद \(x^0+2x^3-8x\) की डिग्री क्या है?
What is the degree of \(x^0+2x^3-8x\)?
#polynomial
#zero_power
#degree
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A (0)
B (1)
C (3)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\) and the highest power is (3). Therefore the degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(x^0=1\) and the highest power is (3). Therefore the degree is (3).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (3) है। इसलिए डिग्री (3) है।
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बहुपद \(2x+5x^4-3x^8+6\) की डिग्री क्या है?
What is the degree of \(2x+5x^4-3x^8+6\)?
#polynomial
#degree
#unordered_terms
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A (1)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
The terms are not in order but the highest power is (8). Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is D. (8). The terms are not in order but the highest power is (8). Therefore the degree is (8).
Step 3
Exam Tip
पद क्रम में नहीं हैं लेकिन सबसे बड़ी घात (8) है। इसलिए डिग्री (8) है।
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बहुपद (-25) की डिग्री क्या है?
What is the degree of the polynomial (-25)?
#polynomial
#constant
#degree_zero
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A (0)
B (1)
C (25)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
(-25) is a non-zero constant polynomial. A non-zero constant polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is A. (0). (-25) is a non-zero constant polynomial. A non-zero constant polynomial has degree (0).
Step 3
Exam Tip
(-25) अशून्य नियतांक बहुपद है। अशून्य नियतांक बहुपद की डिग्री (0) होती है।
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बहुपद \(0x^2+0x+0\) की डिग्री क्या है?
What is the degree of \(0x^2+0x+0\)?
#polynomial
#zero_polynomial
#degree
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A (2)
B (1)
C (0)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Correct Answer
D. परिभाषित नहीं / Not defined
Step 1
Concept
This is the zero polynomial. The degree of the zero polynomial is not defined.
Step 2
Why this answer is correct
The correct answer is D. परिभाषित नहीं / Not defined. This is the zero polynomial. The degree of the zero polynomial is not defined.
Step 3
Exam Tip
यह शून्य बहुपद है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।
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बहुपद \(2x^4+5x^2-9\) की डिग्री क्या है?
What is the degree of the polynomial \(2x^4+5x^2-9\)?
#polynomial
#degree
#highest_power
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A (2)
B (4)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4). To find the degree, look at the highest power.
Step 2
Why this answer is correct
The correct answer is B. (4). The highest power is (4). To find the degree, look at the highest power.
Step 3
Exam Tip
सबसे बड़ी घात (4) है। डिग्री निकालते समय सबसे बड़ी घात देखें।
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बहुपद (13x+8) की डिग्री क्या है?
What is the degree of the polynomial (13x+8)?
#polynomial
#degree
#linear
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A (0)
B (1)
C (8)
D (13)
Explanation opens after your attempt
Step 1
Concept
In (13x+8), the highest power of (x) is (1). Therefore its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). In (13x+8), the highest power of (x) is (1). Therefore its degree is (1).
Step 3
Exam Tip
(13x+8) में (x) की सबसे बड़ी घात (1) है। इसलिए इसकी डिग्री (1) है।
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बहुपद \(7x^5-3x^3+2x-6\) की डिग्री क्या होगी?
What will be the degree of \(7x^5-3x^3+2x-6\)?
#polynomial
#degree
#class9
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A (3)
B (5)
C (7)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power in this polynomial is (5). Therefore the degree will be (5).
Step 2
Why this answer is correct
The correct answer is B. (5). The highest power in this polynomial is (5). Therefore the degree will be (5).
Step 3
Exam Tip
इस बहुपद में सबसे बड़ी घात (5) है। इसलिए डिग्री (5) होगी।
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अशून्य नियतांक बहुपद (-45) की डिग्री क्या है?
What is the degree of the non-zero constant polynomial (-45)?
#polynomial
#constant
#degree_zero
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A (0)
B (1)
C (45)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). (-45) can be considered as \(-45x^0\).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). (-45) can be considered as \(-45x^0\).
Step 3
Exam Tip
अशून्य नियतांक बहुपद की डिग्री (0) होती है। (-45) को \(-45x^0\) माना जा सकता है।
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बहुपद \(0x^7+6x^3-2x+5\) की डिग्री क्या है?
What is the degree of \(0x^7+6x^3-2x+5\)?
#polynomial
#zero_coefficient
#degree
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A (7)
B (6)
C (3)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(0x^7\) is a zero term, so it is not counted. The remaining highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(0x^7\) is a zero term, so it is not counted. The remaining highest power is (3).
Step 3
Exam Tip
\(0x^7\) शून्य पद है इसलिए उसे नहीं गिनते। बची हुई सबसे बड़ी घात (3) है।
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बहुपद \(5x^6+2x^4-11\) की डिग्री किस पद से तय होती है?
The degree of \(5x^6+2x^4-11\) is decided by which term?
#polynomial
#leading_term
#degree
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A \(5x^6\)
B \(2x^4\)
C (-11)
D (2)
Explanation opens after your attempt
Correct Answer
A. \(5x^6\)
Step 1
Concept
The degree is decided by the term with the highest power. Here the highest power (6) is in \(5x^6\).
Step 2
Why this answer is correct
The correct answer is A. \(5x^6\). The degree is decided by the term with the highest power. Here the highest power (6) is in \(5x^6\).
Step 3
Exam Tip
डिग्री सबसे बड़ी घात वाले पद से तय होती है। यहां सबसे बड़ी घात (6) वाले पद \(5x^6\) में है।
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बहुपद \(x^4+x^9+3x^2\) की डिग्री क्या है?
What is the degree of the polynomial \(x^4+x^9+3x^2\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (4)
C (9)
D (15)
Explanation opens after your attempt
Step 1
Concept
Terms may be in any order, but the highest power is (9). Therefore the degree is (9).
Step 2
Why this answer is correct
The correct answer is C. (9). Terms may be in any order, but the highest power is (9). Therefore the degree is (9).
Step 3
Exam Tip
पद किसी भी क्रम में हों पर सबसे बड़ी घात (9) है। इसलिए डिग्री (9) है।
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बहुपद \(8x^3-8x^3+4x^2-1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(8x^3-8x^3+4x^2-1\), what will be the degree?
#polynomial
#simplification
#degree
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A (3)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(8x^3-8x^3=0\), so \(4x^2-1\) remains. Its degree is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). \(8x^3-8x^3=0\), so \(4x^2-1\) remains. Its degree is (2).
Step 3
Exam Tip
\(8x^3-8x^3=0\) इसलिए \(4x^2-1\) बचता है। इसकी डिग्री (2) है।
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बहुपद \(-3x^8+7x^5-x+12\) की डिग्री क्या है?
What is the degree of \(-3x^8+7x^5-x+12\)?
#polynomial
#degree
#highest_power
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A (3)
B (5)
C (8)
D (12)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8) and its coefficient is not zero. Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). The highest power is (8) and its coefficient is not zero. Therefore the degree is (8).
Step 3
Exam Tip
सबसे बड़ी घात (8) है और उसका गुणांक शून्य नहीं है। इसलिए डिग्री (8) है।
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बहुपद \(10x^3-9x+14\) की डिग्री क्या है?
What is the degree of the polynomial \(10x^3-9x+14\)?
#polynomial
#degree
#coefficient_confusion
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A (1)
B (3)
C (9)
D (14)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3). The coefficient (10) is not the degree.
Step 2
Why this answer is correct
The correct answer is B. (3). The highest power is (3). The coefficient (10) is not the degree.
Step 3
Exam Tip
सबसे बड़ी घात (3) है। गुणांक (10) डिग्री नहीं होता।
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बहुपद \(16x^2+5x-3\) की डिग्री क्या है?
What is the degree of \(16x^2+5x-3\)?
#polynomial
#degree
#quadratic
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A (2)
B (5)
C (16)
D (3)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) in it is (2). Therefore its degree is (2).
Step 2
Why this answer is correct
The correct answer is A. (2). The highest power of (x) in it is (2). Therefore its degree is (2).
Step 3
Exam Tip
इसमें (x) की सबसे बड़ी घात (2) है। इसलिए इसकी डिग्री (2) है।
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बहुपद (38) की डिग्री क्या है?
What is the degree of the polynomial (38)?
#polynomial
#constant
#degree_zero
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A (38)
B (0)
C (1)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
(38) is a non-zero constant polynomial. Such a polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is B. (0). (38) is a non-zero constant polynomial. Such a polynomial has degree (0).
Step 3
Exam Tip
(38) अशून्य नियतांक बहुपद है। ऐसे बहुपद की डिग्री (0) होती है।
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बहुपद \(0x^8+9x^4-5\) की डिग्री क्या है?
What is the degree of \(0x^8+9x^4-5\)?
#polynomial
#zero_coefficient
#degree
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A (8)
B (9)
C (4)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(0x^8\) is a zero term, so it is not counted. The highest non-zero power is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). \(0x^8\) is a zero term, so it is not counted. The highest non-zero power is (4).
Step 3
Exam Tip
\(0x^8\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (4) है।
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बहुपद \(x^{12}+4x^5-2x\) की डिग्री क्या है?
What is the degree of \(x^{12}+4x^5-2x\)?
#polynomial
#degree
#higher_power
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A (5)
B (10)
C (12)
D (16)
Explanation opens after your attempt
Step 1
Concept
The highest power is (12). Therefore the degree of this polynomial is (12).
Step 2
Why this answer is correct
The correct answer is C. (12). The highest power is (12). Therefore the degree of this polynomial is (12).
Step 3
Exam Tip
सबसे बड़ी घात (12) है। इसलिए इस बहुपद की डिग्री (12) है।
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बहुपद \(7+4x^6-x^3\) की डिग्री क्या है?
What is the degree of \(7+4x^6-x^3\)?
#polynomial
#degree
#unordered_terms
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A (6)
B (7)
C (4)
D (3)
Explanation opens after your attempt
Step 1
Concept
The terms are not in descending order, but the highest power is (6). Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The terms are not in descending order, but the highest power is (6). Therefore the degree is (6).
Step 3
Exam Tip
पद घटते क्रम में नहीं हैं पर सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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बहुपद \(5x^5-5x^5+6x^3+2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(5x^5-5x^5+6x^3+2\), what will be the degree?
#polynomial
#simplification
#degree
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A (5)
B (3)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(5x^5-5x^5=0\), so \(6x^3+2\) remains. Its degree is (3).
Step 2
Why this answer is correct
The correct answer is B. (3). \(5x^5-5x^5=0\), so \(6x^3+2\) remains. Its degree is (3).
Step 3
Exam Tip
\(5x^5-5x^5=0\) इसलिए \(6x^3+2\) बचता है। इसकी डिग्री (3) है।
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किस विकल्प में बहुपद की डिग्री (4) है?
In which option is the degree of the polynomial (4)?
#polynomial
#degree
#option_based
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A \(8x^4-3x+1\)
B \(7x^3+2\)
C \(5x^2-1\)
D (19)
Explanation opens after your attempt
Correct Answer
A. \(8x^4-3x+1\)
Step 1
Concept
In \(8x^4-3x+1\), the highest power is (4). Therefore its degree is (4).
Step 2
Why this answer is correct
The correct answer is A. \(8x^4-3x+1\). In \(8x^4-3x+1\), the highest power is (4). Therefore its degree is (4).
Step 3
Exam Tip
\(8x^4-3x+1\) में सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (4) है।
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बहुपद \(x^6+x^6+x^2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(x^6+x^6+x^2\), what will be the degree?
#polynomial
#simplification
#like_terms
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A (2)
B (6)
C (8)
D (12)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(2x^6+x^2\). The highest power in it is (6).
Step 2
Why this answer is correct
The correct answer is B. (6). The simplified form is \(2x^6+x^2\). The highest power in it is (6).
Step 3
Exam Tip
सरल रूप \(2x^6+x^2\) है। इसमें सबसे बड़ी घात (6) है।
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बहुपद \(0x^5+0x^3+12x-4\) की डिग्री क्या है?
What is the degree of \(0x^5+0x^3+12x-4\)?
#polynomial
#zero_coefficient
#linear_degree
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A (5)
B (3)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
Terms with zero coefficients disappear and (12x-4) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (1). Terms with zero coefficients disappear and (12x-4) remains. Its degree is (1).
Step 3
Exam Tip
शून्य गुणांक वाले पद हट जाते हैं और (12x-4) बचता है। इसकी डिग्री (1) है।
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बहुपद \(14x^2+x^8-5x^4+3\) की डिग्री क्या है?
What is the degree of \(14x^2+x^8-5x^4+3\)?
#polynomial
#degree
#unordered_terms
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A (2)
B (4)
C (8)
D (14)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8). The order of terms does not change the degree.
Step 2
Why this answer is correct
The correct answer is C. (8). The highest power is (8). The order of terms does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (8) है। पदों का क्रम डिग्री को नहीं बदलता।
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बहुपद \(x^{13}-x^6+4\) की डिग्री क्या है?
What is the degree of \(x^{13}-x^6+4\)?
#polynomial
#degree
#power_thirteen
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A (6)
B (13)
C (17)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power is (13). Therefore the degree of the polynomial is (13).
Step 2
Why this answer is correct
The correct answer is B. (13). The highest power is (13). Therefore the degree of the polynomial is (13).
Step 3
Exam Tip
सबसे बड़ी घात (13) है। इसलिए बहुपद की डिग्री (13) है।
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बहुपद \(9x^3+5x^2-6x+20\) में डिग्री किससे मिलेगी?
From what will the degree of \(9x^3+5x^2-6x+20\) be obtained?
#polynomial
#degree
#concept
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A नियतांक पद (20) से / From the constant term (20)
B सबसे बड़े गुणांक (9) से / From the largest coefficient (9)
C सबसे बड़ी घात (3) से / From the highest power (3)
D पदों की संख्या (4) से / From the number of terms (4)
Explanation opens after your attempt
Correct Answer
C. सबसे बड़ी घात (3) से / From the highest power (3)
Step 1
Concept
The degree is not found from the coefficient or number of terms. It is found from the highest power.
Step 2
Why this answer is correct
The correct answer is C. सबसे बड़ी घात (3) से / From the highest power (3). The degree is not found from the coefficient or number of terms. It is found from the highest power.
Step 3
Exam Tip
डिग्री गुणांक या पदों की संख्या से नहीं मिलती। यह सबसे बड़ी घात से मिलती है।
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बहुपद \(7x^2-7x^2+10x-5\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(7x^2-7x^2+10x-5\), what will be the degree?
#polynomial
#simplification
#degree
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A (2)
B (1)
C (0)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
\(7x^2-7x^2=0\), so (10x-5) remains. Its degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). \(7x^2-7x^2=0\), so (10x-5) remains. Its degree is (1).
Step 3
Exam Tip
\(7x^2-7x^2=0\) इसलिए (10x-5) बचता है। इसकी डिग्री (1) है।
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बहुपद \(5x^9-8x^6+2x^3-7\) की डिग्री क्या है?
What is the degree of \(5x^9-8x^6+2x^3-7\)?
#polynomial
#degree
#highest_power
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A (9)
B (8)
C (6)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (9). Therefore the degree of this polynomial is (9).
Step 2
Why this answer is correct
The correct answer is A. (9). The highest power is (9). Therefore the degree of this polynomial is (9).
Step 3
Exam Tip
सबसे बड़ी घात (9) है। इसलिए इस बहुपद की डिग्री (9) है।
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किस बहुपद की डिग्री (5) नहीं है?
Which polynomial does not have degree (5)?
#polynomial
#degree
#identification
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A \(x^5+1\)
B \(6x^5-2x\)
C \(7x^4+5\)
D \(3x^5+x^2\)
Explanation opens after your attempt
Correct Answer
C. \(7x^4+5\)
Step 1
Concept
In \(7x^4+5\), the highest power is (4). Therefore its degree is not (5).
Step 2
Why this answer is correct
The correct answer is C. \(7x^4+5\). In \(7x^4+5\), the highest power is (4). Therefore its degree is not (5).
Step 3
Exam Tip
\(7x^4+5\) में सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (5) नहीं है।
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बहुपद \(x^0+11x^3-6\) की डिग्री क्या है?
What is the degree of \(x^0+11x^3-6\)?
#polynomial
#zero_power
#degree
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A (0)
B (1)
C (3)
D (11)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (3). Therefore the degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(x^0=1\), and the highest power is (3). Therefore the degree is (3).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (3) है। इसलिए डिग्री (3) है।
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बहुपद \(0x^4+0x^2+0\) की डिग्री क्या है?
What is the degree of \(0x^4+0x^2+0\)?
#polynomial
#zero_polynomial
#degree
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A (4)
B (2)
C (0)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Correct Answer
D. परिभाषित नहीं / Not defined
Step 1
Concept
This is the zero polynomial. The degree of the zero polynomial is not defined.
Step 2
Why this answer is correct
The correct answer is D. परिभाषित नहीं / Not defined. This is the zero polynomial. The degree of the zero polynomial is not defined.
Step 3
Exam Tip
यह शून्य बहुपद है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।
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बहुपद \(18x^7+0x^{11}-2\) की डिग्री क्या है?
What is the degree of \(18x^7+0x^{11}-2\)?
#polynomial
#zero_coefficient
#degree
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A (11)
B (7)
C (2)
D (18)
Explanation opens after your attempt
Step 1
Concept
\(0x^{11}\) is a zero term and is not counted. The highest non-zero power is (7).
Step 2
Why this answer is correct
The correct answer is B. (7). \(0x^{11}\) is a zero term and is not counted. The highest non-zero power is (7).
Step 3
Exam Tip
\(0x^{11}\) शून्य पद है और उसे नहीं गिनते। सबसे बड़ी अशून्य घात (7) है।
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बहुपद \(x+x^2+x^4+x^6\) की डिग्री क्या है?
What is the degree of \(x+x^2+x^4+x^6\)?
#polynomial
#degree
#ascending_order
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A (1)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6). Therefore the degree of the polynomial is (6).
Step 2
Why this answer is correct
The correct answer is D. (6). The highest power is (6). Therefore the degree of the polynomial is (6).
Step 3
Exam Tip
सबसे बड़ी घात (6) है। इसलिए बहुपद की डिग्री (6) है।
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किस विकल्प में बहुपद की डिग्री (7) है?
Which option has polynomial degree (7)?
#polynomial
#degree
#option_based
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A \(4x^7-3x^2+1\)
B \(4x^6-3x+1\)
C \(4x^5+1\)
D (4x+7)
Explanation opens after your attempt
Correct Answer
A. \(4x^7-3x^2+1\)
Step 1
Concept
In the first polynomial, the highest power is (7). Therefore its degree is (7).
Step 2
Why this answer is correct
The correct answer is A. \(4x^7-3x^2+1\). In the first polynomial, the highest power is (7). Therefore its degree is (7).
Step 3
Exam Tip
पहले बहुपद में सबसे बड़ी घात (7) है। इसलिए उसकी डिग्री (7) है।
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बहुपद \(-x^5+9x^3-4\) की डिग्री क्या है?
What is the degree of \(-x^5+9x^3-4\)?
#polynomial
#degree
#negative_coefficient
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A (3)
B (5)
C (9)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5). A negative coefficient does not change the degree.
Step 2
Why this answer is correct
The correct answer is B. (5). The highest power is (5). A negative coefficient does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (5) है। ऋणात्मक गुणांक होने से डिग्री नहीं बदलती।
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बहुपद \(8x^2+6x^8-5x^4\) की डिग्री क्या है?
What is the degree of \(8x^2+6x^8-5x^4\)?
#polynomial
#degree
#coefficient_confusion
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A (2)
B (4)
C (8)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (8). The coefficient (6) is not the degree, the exponent is.
Step 2
Why this answer is correct
The correct answer is C. (8). The highest power is (8). The coefficient (6) is not the degree, the exponent is.
Step 3
Exam Tip
सबसे बड़ी घात (8) है। गुणांक (6) नहीं बल्कि घात डिग्री बताती है।
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यदि बहुपद की सबसे बड़ी घात (10) है तो उसकी डिग्री क्या होगी?
If the highest power of a polynomial is (10), what will its degree be?
#polynomial
#degree
#concept
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A (0)
B (1)
C (10)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
The degree of a polynomial is its highest power. Therefore the degree will be (10).
Step 2
Why this answer is correct
The correct answer is C. (10). The degree of a polynomial is its highest power. Therefore the degree will be (10).
Step 3
Exam Tip
बहुपद की डिग्री उसकी सबसे बड़ी घात होती है। इसलिए डिग्री (10) होगी।
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बहुपद \(3x^4+8x^4-2x+1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(3x^4+8x^4-2x+1\), what will be the degree?
#polynomial
#simplification
#like_terms
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A (1)
B (2)
C (4)
D (11)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(11x^4-2x+1\). The highest power in it is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). The simplified form is \(11x^4-2x+1\). The highest power in it is (4).
Step 3
Exam Tip
सरल रूप \(11x^4-2x+1\) है। इसमें सबसे बड़ी घात (4) है।
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बहुपद \(5x^3-1+7x^6\) की डिग्री क्या है?
What is the degree of \(5x^3-1+7x^6\)?
#polynomial
#degree
#unordered_terms
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A (3)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6). Changing the order of terms does not change the degree.
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power is (6). Changing the order of terms does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (6) है। पदों का क्रम बदलने से डिग्री नहीं बदलती।
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बहुपद \(0x^{12}+4x^5-3x^2+8\) की डिग्री क्या है?
What is the degree of \(0x^{12}+4x^5-3x^2+8\)?
#polynomial
#zero_coefficient
#degree
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A (12)
B (5)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(0x^{12}\) is a zero term, so it is not counted. The highest non-zero power is (5).
Step 2
Why this answer is correct
The correct answer is B. (5). \(0x^{12}\) is a zero term, so it is not counted. The highest non-zero power is (5).
Step 3
Exam Tip
\(0x^{12}\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (5) है।
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बहुपद \(11x^7-11x^7+3x^3+2\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(11x^7-11x^7+3x^3+2\), what will be the degree?
#polynomial
#simplification
#degree
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A (7)
B (3)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(11x^7-11x^7=0\), so \(3x^3+2\) remains. Its degree is (3).
Step 2
Why this answer is correct
The correct answer is B. (3). \(11x^7-11x^7=0\), so \(3x^3+2\) remains. Its degree is (3).
Step 3
Exam Tip
\(11x^7-11x^7=0\) इसलिए \(3x^3+2\) बचता है। इसकी डिग्री (3) है।
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किस बहुपद की डिग्री (8) है?
Which polynomial has degree (8)?
#polynomial
#degree
#option_based
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A \(2x^7+3\)
B \(4x^8-x^2+5\)
C (8x+4)
D (21)
Explanation opens after your attempt
Correct Answer
B. \(4x^8-x^2+5\)
Step 1
Concept
In \(4x^8-x^2+5\), the highest power is (8). Therefore its degree is (8).
Step 2
Why this answer is correct
The correct answer is B. \(4x^8-x^2+5\). In \(4x^8-x^2+5\), the highest power is (8). Therefore its degree is (8).
Step 3
Exam Tip
\(4x^8-x^2+5\) में सबसे बड़ी घात (8) है। इसलिए इसकी डिग्री (8) है।
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बहुपद \(x^0+4x^5-9x\) की डिग्री क्या है?
What is the degree of \(x^0+4x^5-9x\)?
#polynomial
#zero_power
#degree
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A (0)
B (1)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). \(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (5) है। इसलिए डिग्री (5) है।
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बहुपद \(2x+5x^4-3x^9+6\) की डिग्री क्या है?
What is the degree of \(2x+5x^4-3x^9+6\)?
#polynomial
#degree
#unordered_terms
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A (1)
B (4)
C (6)
D (9)
Explanation opens after your attempt
Step 1
Concept
The terms are not in order but the highest power is (9). Therefore the degree is (9).
Step 2
Why this answer is correct
The correct answer is D. (9). The terms are not in order but the highest power is (9). Therefore the degree is (9).
Step 3
Exam Tip
पद क्रम में नहीं हैं लेकिन सबसे बड़ी घात (9) है। इसलिए डिग्री (9) है।
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बहुपद (-52) की डिग्री क्या है?
What is the degree of the polynomial (-52)?
#polynomial
#constant
#degree_zero
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A (0)
B (1)
C (52)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
(-52) is a non-zero constant polynomial. A non-zero constant polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is A. (0). (-52) is a non-zero constant polynomial. A non-zero constant polynomial has degree (0).
Step 3
Exam Tip
(-52) अशून्य नियतांक बहुपद है। अशून्य नियतांक बहुपद की डिग्री (0) होती है।
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बहुपद \(0x^{14}+6x^6-2x+3\) की डिग्री क्या है?
What is the degree of \(0x^{14}+6x^6-2x+3\)?
#polynomial
#zero_coefficient
#degree
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A (14)
B (6)
C (3)
D (2)
Explanation opens after your attempt
Step 1
Concept
\(0x^{14}\) is a zero term, so it is not counted. The highest non-zero power is (6).
Step 2
Why this answer is correct
The correct answer is B. (6). \(0x^{14}\) is a zero term, so it is not counted. The highest non-zero power is (6).
Step 3
Exam Tip
\(0x^{14}\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (6) है।
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बहुपद \(13x^8-13x^8+5x^4-1\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(13x^8-13x^8+5x^4-1\), what will be the degree?
#polynomial
#simplification
#degree
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A (8)
B (5)
C (4)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(13x^8-13x^8=0\), so \(5x^4-1\) remains. Its degree is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). \(13x^8-13x^8=0\), so \(5x^4-1\) remains. Its degree is (4).
Step 3
Exam Tip
\(13x^8-13x^8=0\) इसलिए \(5x^4-1\) बचता है। इसकी डिग्री (4) है।
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किस बहुपद की डिग्री (9) है?
Which polynomial has degree (9)?
#polynomial
#degree
#option_based
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A \(3x^8+2\)
B \(5x^9-x^2+7\)
C (9x+5)
D (30)
Explanation opens after your attempt
Correct Answer
B. \(5x^9-x^2+7\)
Step 1
Concept
In \(5x^9-x^2+7\), the highest power is (9). Therefore its degree is (9).
Step 2
Why this answer is correct
The correct answer is B. \(5x^9-x^2+7\). In \(5x^9-x^2+7\), the highest power is (9). Therefore its degree is (9).
Step 3
Exam Tip
\(5x^9-x^2+7\) में सबसे बड़ी घात (9) है। इसलिए इसकी डिग्री (9) है।
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बहुपद \(x^0+7x^6-4x^2\) की डिग्री क्या है?
What is the degree of \(x^0+7x^6-4x^2\)?
#polynomial
#zero_power
#degree
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A (0)
B (2)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). \(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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बहुपद \(4x^2+9x^{10}-5x^3+1\) की डिग्री क्या है?
What is the degree of \(4x^2+9x^{10}-5x^3+1\)?
#polynomial
#degree
#coefficient_confusion
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A (2)
B (3)
C (9)
D (10)
Explanation opens after your attempt
Step 1
Concept
The highest power is (10). The coefficient (9) is not the degree, the exponent is.
Step 2
Why this answer is correct
The correct answer is D. (10). The highest power is (10). The coefficient (9) is not the degree, the exponent is.
Step 3
Exam Tip
सबसे बड़ी घात (10) है। गुणांक (9) नहीं बल्कि घात डिग्री बताती है।
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बहुपद \(6x^5+6x^5-3x+8\) को सरल करने के बाद डिग्री क्या होगी?
After simplifying \(6x^5+6x^5-3x+8\), what will be the degree?
#polynomial
#simplification
#like_terms
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A (1)
B (5)
C (6)
D (12)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(12x^5-3x+8\). The highest power in it is (5).
Step 2
Why this answer is correct
The correct answer is B. (5). The simplified form is \(12x^5-3x+8\). The highest power in it is (5).
Step 3
Exam Tip
सरल रूप \(12x^5-3x+8\) है। इसमें सबसे बड़ी घात (5) है।
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बहुपद \(8x^3-2+5x^7\) की डिग्री क्या है?
What is the degree of \(8x^3-2+5x^7\)?
#polynomial
#degree
#unordered_terms
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A (3)
B (5)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (7). Changing the order of terms does not change the degree.
Step 2
Why this answer is correct
The correct answer is C. (7). The highest power is (7). Changing the order of terms does not change the degree.
Step 3
Exam Tip
सबसे बड़ी घात (7) है। पदों का क्रम बदलने से डिग्री नहीं बदलती।
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यदि बहुपद की सबसे बड़ी घात (12) है तो उसकी डिग्री क्या होगी?
If the highest power of a polynomial is (12), what will its degree be?
#polynomial
#degree
#concept
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A (0)
B (1)
C (12)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
The degree of a polynomial is its highest power. Therefore the degree will be (12).
Step 2
Why this answer is correct
The correct answer is C. (12). The degree of a polynomial is its highest power. Therefore the degree will be (12).
Step 3
Exam Tip
बहुपद की डिग्री उसकी सबसे बड़ी घात होती है। इसलिए डिग्री (12) होगी।
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बहुपद \(0x^{15}+2x^8-6x^4+9\) की डिग्री क्या है?
What is the degree of \(0x^{15}+2x^8-6x^4+9\)?
#polynomial
#zero_coefficient
#degree
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A (15)
B (8)
C (6)
D (4)
Explanation opens after your attempt
Step 1
Concept
\(0x^{15}\) is a zero term, so it is not counted. The highest non-zero power is (8).
Step 2
Why this answer is correct
The correct answer is B. (8). \(0x^{15}\) is a zero term, so it is not counted. The highest non-zero power is (8).
Step 3
Exam Tip
\(0x^{15}\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (8) है।
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