यदि (p(x)=(a+3)x-9+\(a^2-9\)x-6+4x-2-5) की डिग्री (2) है, तो (a) का सही मान कौन सा है?
If the degree of (p(x)=(a+3)x-9+\(a^2-9\)x-6+4x-2-5) is (2), which value of (a) is correct?
Explanation opens after your attempt
Step 1
Concept
For degree (2), both \(x^9\) and \(x^6\) terms must vanish. At (a=-3), both coefficients become (0).
Step 2
Why this answer is correct
The correct answer is B. (a=-3). For degree (2), both \(x^9\) and \(x^6\) terms must vanish. At (a=-3), both coefficients become (0).
Step 3
Exam Tip
डिग्री (2) के लिए \(x^9\) और \(x^6\) दोनों पद हटने चाहिए। (a=-3) पर दोनों गुणांक (0) हो जाते हैं।
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सरल करने के बाद (x-4\(x^3+2\)-x-7+6x-5-8) की डिग्री क्या है?
After simplifying (x-4\(x^3+2\)-x-7+6x-5-8), what is the degree?
Explanation opens after your attempt
Step 1
Concept
(x-4\(x^3+2\)=x-7+2x-4), and \(x^7\) cancels. The remaining \(6x^5+2x^4-8\) has degree (5).
Step 2
Why this answer is correct
The correct answer is B. (5). (x-4\(x^3+2\)=x-7+2x-4), and \(x^7\) cancels. The remaining \(6x^5+2x^4-8\) has degree (5).
Step 3
Exam Tip
(x-4\(x^3+2\)=x-7+2x-4) और \(x^7\) कट जाता है। बचा \(6x^5+2x^4-8\) है जिसकी डिग्री (5) है।
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यदि (q(x)=(k-4)2x-8+(k-4)x-5+3x) और (k=4), तो (q(x)) की डिग्री क्या है?
If (q(x)=(k-4)2x-8+(k-4)x-5+3x) and (k=4), what is the degree of (q(x))?
Explanation opens after your attempt
Step 1
Concept
At (k=4), both \(x^8\) and \(x^5\) terms vanish. The remaining (3x) has degree (1).
Step 2
Why this answer is correct
The correct answer is C. (1). At (k=4), both \(x^8\) and \(x^5\) terms vanish. The remaining (3x) has degree (1).
Step 3
Exam Tip
(k=4) पर \(x^8\) और \(x^5\) दोनों पद हट जाते हैं। बचा (3x) है जिसकी डिग्री (1) है।
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बहुपद (\(3x^4-2x\)\(x^3+x^2+1\)) की डिग्री क्या है?
What is the degree of the polynomial (\(3x^4-2x\)\(x^3+x^2+1\))?
Explanation opens after your attempt
Step 1
Concept
The highest term comes from \(3x^4\cdot x^3=3x^7\). Therefore the degree of the product is (7).
Step 2
Why this answer is correct
The correct answer is C. (7). The highest term comes from \(3x^4\cdot x^3=3x^7\). Therefore the degree of the product is (7).
Step 3
Exam Tip
उच्चतम पद \(3x^4\cdot x^3=3x^7\) से मिलता है। इसलिए गुणनफल की डिग्री (7) है।
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यदि (f(x)=2x-6-5x-6+3x-6-7x-2+9), तो (f(x)) की डिग्री क्या है?
If (f(x)=2x-6-5x-6+3x-6-7x-2+9), what is the degree of (f(x))?
Explanation opens after your attempt
Step 1
Concept
\(2x^6-5x^6+3x^6=0\). The remaining \(-7x^2+9\) has degree (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(2x^6-5x^6+3x^6=0\). The remaining \(-7x^2+9\) has degree (2).
Step 3
Exam Tip
\(2x^6-5x^6+3x^6=0\) हो जाता है। बचा \(-7x^2+9\) है जिसकी डिग्री (2) है।
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बहुपद \(5x^3y^4-2x^6y+7xy^2-1\) की कुल डिग्री क्या है?
What is the total degree of \(5x^3y^4-2x^6y+7xy^2-1\)?
Explanation opens after your attempt
Step 1
Concept
The total power of the first term is (3+4=7) and of the second term is (6+1=7). Therefore the total degree is (7).
Step 2
Why this answer is correct
The correct answer is B. (7). The total power of the first term is (3+4=7) and of the second term is (6+1=7). Therefore the total degree is (7).
Step 3
Exam Tip
पहले पद की कुल घात (3+4=7) और दूसरे पद की (6+1=7) है। इसलिए कुल डिग्री (7) है।
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(x) के संदर्भ में \(7x^2y^8-5x^6y^3+4y^2-3\) की डिग्री क्या है?
With respect to (x), what is the degree of \(7x^2y^8-5x^6y^3+4y^2-3\)?
Explanation opens after your attempt
Step 1
Concept
With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (6).
Step 3
Exam Tip
(x) के संदर्भ में (y) को गुणांक जैसा माना जाता है। (x) की सबसे बड़ी घात (6) है।
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(y) के संदर्भ में \(7x^2y^8-5x^6y^3+4y^2-3\) की डिग्री क्या है?
With respect to (y), what is the degree of \(7x^2y^8-5x^6y^3+4y^2-3\)?
Explanation opens after your attempt
Step 1
Concept
The highest power of (y) is (8). Therefore the degree with respect to (y) is (8).
Step 2
Why this answer is correct
The correct answer is A. (8). The highest power of (y) is (8). Therefore the degree with respect to (y) is (8).
Step 3
Exam Tip
(y) की सबसे बड़ी घात (8) है। इसलिए (y) के संदर्भ में डिग्री (8) है।
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यदि \(4x^n+3x^8-1\) की डिग्री (n) है और (n>8), तो (n) का कौन सा मान संभव है?
If the degree of \(4x^n+3x^8-1\) is (n) and (n>8), which value of (n) is possible?
Explanation opens after your attempt
Step 1
Concept
When (n>8), \(x^n\) gives the highest power. Among the options, (n=9) is correct.
Step 2
Why this answer is correct
The correct answer is C. (n=9). When (n>8), \(x^n\) gives the highest power. Among the options, (n=9) is correct.
Step 3
Exam Tip
जब (n>8) है, तो \(x^n\) सबसे बड़ी घात देगा। दिए गए विकल्पों में (n=9) ही सही है।
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यदि \(5x^m+6x^7+2\) की डिग्री (7) है और (m<7), तो (m) का संभावित मान कौन सा है?
If the degree of \(5x^m+6x^7+2\) is (7) and (m<7), which value of (m) is possible?
Explanation opens after your attempt
Step 1
Concept
The \(x^7\) term is present and (m<7) is required. At (m=5), the highest power remains (7).
Step 2
Why this answer is correct
The correct answer is D. (m=5). The \(x^7\) term is present and (m<7) is required. At (m=5), the highest power remains (7).
Step 3
Exam Tip
\(x^7\) पद मौजूद है और (m<7) चाहिए। (m=5) पर भी सबसे बड़ी घात (7) रहती है।
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बहुपद (\(x^3-2\)3) की डिग्री क्या है?
What is the degree of the polynomial (\(x^3-2\)3)?
Explanation opens after your attempt
Step 1
Concept
The highest term will be (\(x^3\)3=x-9). Therefore the degree is (9).
Step 2
Why this answer is correct
The correct answer is C. (9). The highest term will be (\(x^3\)3=x-9). Therefore the degree is (9).
Step 3
Exam Tip
उच्चतम पद (\(x^3\)3=x-9) होगा। इसलिए डिग्री (9) है।
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बहुपद (\(x^4+3\)2-\(x^8+6x^4\)) की डिग्री क्या है?
What is the degree of (\(x^4+3\)2-\(x^8+6x^4\))?
Explanation opens after your attempt
Step 1
Concept
(\(x^4+3\)2=x-8+6x-4+9). After subtraction, (9) remains, whose degree is (0).
Step 2
Why this answer is correct
The correct answer is C. (0). (\(x^4+3\)2=x-8+6x-4+9). After subtraction, (9) remains, whose degree is (0).
Step 3
Exam Tip
(\(x^4+3\)2=x-8+6x-4+9) होता है। घटाने पर (9) बचता है जिसकी डिग्री (0) है।
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यदि \(b\neq-2\), तो ((b+2)x^{12}+5x-6-4) की डिग्री क्या होगी?
If \(b\neq-2\), what will be the degree of ((b+2)x^{12}+5x-6-4)?
Explanation opens after your attempt
Step 1
Concept
When \(b\neq-2\), the coefficient of \(x^{12}\) is not zero. Therefore the highest power remains (12).
Step 2
Why this answer is correct
The correct answer is B. (12). When \(b\neq-2\), the coefficient of \(x^{12}\) is not zero. Therefore the highest power remains (12).
Step 3
Exam Tip
\(b\neq-2\) होने पर \(x^{12}\) का गुणांक शून्य नहीं है। इसलिए सबसे बड़ी घात (12) रहेगी।
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यदि (b=-2), तो ((b+2)x^{12}+5x-6-4) की डिग्री क्या होगी?
If (b=-2), what will be the degree of ((b+2)x^{12}+5x-6-4)?
Explanation opens after your attempt
Step 1
Concept
When (b=-2), the \(x^{12}\) term disappears. The remaining highest power is (6).
Step 2
Why this answer is correct
The correct answer is B. (6). When (b=-2), the \(x^{12}\) term disappears. The remaining highest power is (6).
Step 3
Exam Tip
(b=-2) होने पर \(x^{12}\) पद हट जाता है। बची हुई सबसे बड़ी घात (6) है।
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बहुपद (\(x^3+x^2+1\)\(x^5-x+2\)) की डिग्री क्या है?
What is the degree of (\(x^3+x^2+1\)\(x^5-x+2\))?
Explanation opens after your attempt
Step 1
Concept
The highest term comes from \(x^3\cdot x^5=x^8\). Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). The highest term comes from \(x^3\cdot x^5=x^8\). Therefore the degree is (8).
Step 3
Exam Tip
उच्चतम पद \(x^3\cdot x^5=x^8\) से मिलेगा। इसलिए डिग्री (8) है।
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सरल करने के बाद (3x-5\(x^2-1\)-3x-7+8x-4) की डिग्री क्या है?
After simplifying (3x-5\(x^2-1\)-3x-7+8x-4), what is the degree?
Explanation opens after your attempt
Step 1
Concept
(3x-5\(x^2-1\)=3x-7-3x-5), and \(3x^7\) cancels. The remaining \(-3x^5+8x^4\) has degree (5).
Step 2
Why this answer is correct
The correct answer is B. (5). (3x-5\(x^2-1\)=3x-7-3x-5), and \(3x^7\) cancels. The remaining \(-3x^5+8x^4\) has degree (5).
Step 3
Exam Tip
(3x-5\(x^2-1\)=3x-7-3x-5) और \(3x^7\) कटता है। बचा \(-3x^5+8x^4\) है जिसकी डिग्री (5) है।
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बहुपद \(0x^{13}+0x^{10}+0x^3+25\) की डिग्री क्या है?
What is the degree of \(0x^{13}+0x^{10}+0x^3+25\)?
Explanation opens after your attempt
Step 1
Concept
Terms with zero coefficients disappear and (25) remains. It is a non-zero constant polynomial with degree (0).
Step 2
Why this answer is correct
The correct answer is D. (0). Terms with zero coefficients disappear and (25) remains. It is a non-zero constant polynomial with degree (0).
Step 3
Exam Tip
शून्य गुणांक वाले पद हट जाते हैं और (25) बचता है। यह अशून्य नियतांक बहुपद है जिसकी डिग्री (0) है।
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किस विकल्प में बहुपद की डिग्री (8) है और \(x^7\) का गुणांक (0) है?
Which option has degree (8) and coefficient of \(x^7\) equal to (0)?
Explanation opens after your attempt
Correct Answer
A. \(4x^8-3x^6+2\)
Step 1
Concept
The first polynomial has degree (8), and the \(x^7\) term is absent. So the coefficient of \(x^7\) is (0).
Step 2
Why this answer is correct
The correct answer is A. \(4x^8-3x^6+2\). The first polynomial has degree (8), and the \(x^7\) term is absent. So the coefficient of \(x^7\) is (0).
Step 3
Exam Tip
पहले बहुपद की डिग्री (8) है और \(x^7\) पद अनुपस्थित है। इसलिए \(x^7\) का गुणांक (0) है।
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यदि (p(x)=x-3\(x^3-2\)-x-6+2x-3+11), तो (p(x)) की डिग्री क्या है?
If (p(x)=x-3\(x^3-2\)-x-6+2x-3+11), what is the degree of (p(x))?
Explanation opens after your attempt
Step 1
Concept
(x-3\(x^3-2\)=x-6-2x-3). All variable terms cancel and (11) remains, whose degree is (0).
Step 2
Why this answer is correct
The correct answer is D. (0). (x-3\(x^3-2\)=x-6-2x-3). All variable terms cancel and (11) remains, whose degree is (0).
Step 3
Exam Tip
(x-3\(x^3-2\)=x-6-2x-3) है। सभी चर पद कट जाते हैं और (11) बचता है जिसकी डिग्री (0) है।
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बहुपद (\(x^3+3x\)\(x^4-x\)-x-7) की डिग्री क्या है?
What is the degree of (\(x^3+3x\)\(x^4-x\)-x-7)?
Explanation opens after your attempt
Step 1
Concept
Multiplication gives \(x^7+3x^5-x^4-3x^2\), and \(x^7\) cancels. The remaining highest power is (5).
Step 2
Why this answer is correct
The correct answer is B. (5). Multiplication gives \(x^7+3x^5-x^4-3x^2\), and \(x^7\) cancels. The remaining highest power is (5).
Step 3
Exam Tip
गुणन से \(x^7+3x^5-x^4-3x^2\) मिलता है और \(x^7\) कटता है। बची सबसे बड़ी घात (5) है।
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यदि ((c-5)x-6+\(c^2-25\)x-4+13) की डिग्री (0) है, तो (c) का मान क्या है?
If the degree of ((c-5)x-6+\(c^2-25\)x-4+13) is (0), what is the value of (c)?
Explanation opens after your attempt
Step 1
Concept
For degree (0), both \(x^6\) and \(x^4\) terms must vanish. At (c=5), both coefficients become (0).
Step 2
Why this answer is correct
The correct answer is A. (c=5). For degree (0), both \(x^6\) and \(x^4\) terms must vanish. At (c=5), both coefficients become (0).
Step 3
Exam Tip
डिग्री (0) के लिए \(x^6\) और \(x^4\) दोनों पद हटने चाहिए। (c=5) पर दोनों गुणांक (0) हो जाते हैं।
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किस मान पर ((d+2)x-5+(d-4)x-3+9) की डिग्री (3) होगी?
For which value will the degree of ((d+2)x-5+(d-4)x-3+9) be (3)?
Explanation opens after your attempt
Step 1
Concept
For degree (3), the \(x^5\) term must vanish and the \(x^3\) term must remain. This is true at (d=-2).
Step 2
Why this answer is correct
The correct answer is B. (d=-2). For degree (3), the \(x^5\) term must vanish and the \(x^3\) term must remain. This is true at (d=-2).
Step 3
Exam Tip
डिग्री (3) के लिए \(x^5\) पद हटना चाहिए और \(x^3\) पद बचना चाहिए। (d=-2) पर यह सही होता है।
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बहुपद \(x^3y^2z^5+2x^4yz^3-6\) की कुल डिग्री क्या है?
What is the total degree of \(x^3y^2z^5+2x^4yz^3-6\)?
Explanation opens after your attempt
Step 1
Concept
The total power of the first term is (3+2+5=10). This is the highest total power.
Step 2
Why this answer is correct
The correct answer is C. (10). The total power of the first term is (3+2+5=10). This is the highest total power.
Step 3
Exam Tip
पहले पद की कुल घात (3+2+5=10) है। यही सबसे बड़ी कुल घात है।
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(z) के संदर्भ में \(5x^3z^6-7x^2z^4+9x-2\) की डिग्री क्या है?
With respect to (z), what is the degree of \(5x^3z^6-7x^2z^4+9x-2\)?
Explanation opens after your attempt
Step 1
Concept
The highest power of (z) is (6). Other variables are treated like coefficients with respect to (z).
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power of (z) is (6). Other variables are treated like coefficients with respect to (z).
Step 3
Exam Tip
(z) की सबसे बड़ी घात (6) है। अन्य चर (z) के संदर्भ में गुणांक जैसे माने जाते हैं।
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यदि (h(x)=\(x^3+x\)2-x-6-2x-4), तो (h(x)) की डिग्री क्या है?
If (h(x)=\(x^3+x\)2-x-6-2x-4), what is the degree of (h(x))?
Explanation opens after your attempt
Step 1
Concept
(\(x^3+x\)2=x-6+2x-4+x-2). After subtraction, \(x^2\) remains, whose degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). (\(x^3+x\)2=x-6+2x-4+x-2). After subtraction, \(x^2\) remains, whose degree is (2).
Step 3
Exam Tip
(\(x^3+x\)2=x-6+2x-4+x-2) है। घटाने पर \(x^2\) बचता है जिसकी डिग्री (2) है।
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बहुपद (\(x^4-1\)\(x^4+1\)) की डिग्री क्या है?
What is the degree of (\(x^4-1\)\(x^4+1\))?
Explanation opens after your attempt
Step 1
Concept
The product is \(x^8-1\). Its highest power is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). The product is \(x^8-1\). Its highest power is (8).
Step 3
Exam Tip
गुणनफल \(x^8-1\) है। इसमें सबसे बड़ी घात (8) है।
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यदि (n) अऋणात्मक पूर्णांक है और \(x^{n+3}+x^6+1\) की डिग्री (6) है, तो (n) के लिए कौन सी शर्त सही है?
If (n) is a non-negative integer and the degree of \(x^{n+3}+x^6+1\) is (6), which condition is correct for (n)?
Explanation opens after your attempt
Correct Answer
A. \(n\le3\)
Step 1
Concept
For degree (6), \(n+3\le6\) must hold. Therefore \(n\le3\) is the correct condition.
Step 2
Why this answer is correct
The correct answer is A. \(n\le3\). For degree (6), \(n+3\le6\) must hold. Therefore \(n\le3\) is the correct condition.
Step 3
Exam Tip
डिग्री (6) के लिए \(n+3\le6\) होना चाहिए। इसलिए \(n\le3\) सही शर्त है।
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यदि (p(x)=\(x^5-3x^2+2\)-\(x^5-x^2\)), तो (p(x)) की डिग्री क्या है?
If (p(x)=\(x^5-3x^2+2\)-\(x^5-x^2\)), what is the degree of (p(x))?
Explanation opens after your attempt
Step 1
Concept
On simplifying, we get \(-2x^2+2\). Its highest power is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). On simplifying, we get \(-2x^2+2\). Its highest power is (2).
Step 3
Exam Tip
सरल करने पर \(-2x^2+2\) मिलता है। इसकी सबसे बड़ी घात (2) है।
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बहुपद (x-5\(x^2+1\)-x-2\(x^5-4\)) की डिग्री क्या है?
What is the degree of (x-5\(x^2+1\)-x-2\(x^5-4\))?
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(x^7+x^5-x^7+4x^2=x^5+4x^2\). Its degree is (5).
Step 2
Why this answer is correct
The correct answer is B. (5). The simplified form is \(x^7+x^5-x^7+4x^2=x^5+4x^2\). Its degree is (5).
Step 3
Exam Tip
सरल रूप \(x^7+x^5-x^7+4x^2=x^5+4x^2\) है। इसकी डिग्री (5) है।
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यदि (e=2), तो ((e-2)x^{10}+(e+1)x-8+4x-3-6) की डिग्री क्या है?
If (e=2), what is the degree of ((e-2)x^{10}+(e+1)x-8+4x-3-6)?
Explanation opens after your attempt
Step 1
Concept
At (e=2), the \(x^{10}\) term vanishes but the coefficient of \(x^8\) remains (3). Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is B. (8). At (e=2), the \(x^{10}\) term vanishes but the coefficient of \(x^8\) remains (3). Therefore the degree is (8).
Step 3
Exam Tip
(e=2) पर \(x^{10}\) पद हटता है लेकिन \(x^8\) का गुणांक (3) रहता है। इसलिए डिग्री (8) है।
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यदि (p(x)=0x-7+0x-4+0x+0), तो (p(x)) की डिग्री क्या है?
If (p(x)=0x-7+0x-4+0x+0), what is the degree of (p(x))?
Explanation opens after your attempt
Correct Answer
D. परिभाषित नहीं/Not defined
Step 1
Concept
All terms have coefficient (0), so it is the zero polynomial. Its degree is not defined.
Step 2
Why this answer is correct
The correct answer is D. परिभाषित नहीं / Not defined. All terms have coefficient (0), so it is the zero polynomial. Its degree is not defined.
Step 3
Exam Tip
सभी पदों के गुणांक (0) हैं इसलिए यह शून्य बहुपद है। इसकी डिग्री परिभाषित नहीं होती।
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बहुपद (x\(x^3-1\)\(x^4+2\)) की डिग्री क्या है?
What is the degree of (x\(x^3-1\)\(x^4+2\))?
Explanation opens after your attempt
Step 1
Concept
The highest power comes from \(x\cdot x^3\cdot x^4=x^8\). Therefore the degree is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). The highest power comes from \(x\cdot x^3\cdot x^4=x^8\). Therefore the degree is (8).
Step 3
Exam Tip
उच्चतम घात \(x\cdot x^3\cdot x^4=x^8\) से आती है। इसलिए डिग्री (8) है।
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किस विकल्प में कुल डिग्री (7) वाला बहुपद है?
Which option has a polynomial of total degree (7)?
Explanation opens after your attempt
Correct Answer
B. \(x^4y^3+2x\)
Step 1
Concept
The total power of \(x^4y^3\) is (4+3=7). Therefore the total degree is (7).
Step 2
Why this answer is correct
The correct answer is B. \(x^4y^3+2x\). The total power of \(x^4y^3\) is (4+3=7). Therefore the total degree is (7).
Step 3
Exam Tip
\(x^4y^3\) की कुल घात (4+3=7) है। इसलिए कुल डिग्री (7) है।
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यदि \(t\neq0\), तो \(tx^{13}+0x^{15}+4x^6-2\) की डिग्री क्या है?
If \(t\neq0\), what is the degree of \(tx^{13}+0x^{15}+4x^6-2\)?
Explanation opens after your attempt
Step 1
Concept
\(0x^{15}\) is a zero term, and \(t\neq0\) keeps the \(x^{13}\) term. Therefore the degree is (13).
Step 2
Why this answer is correct
The correct answer is B. (13). \(0x^{15}\) is a zero term, and \(t\neq0\) keeps the \(x^{13}\) term. Therefore the degree is (13).
Step 3
Exam Tip
\(0x^{15}\) शून्य पद है और \(t\neq0\) से \(x^{13}\) पद बचता है। इसलिए डिग्री (13) है।
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बहुपद (\(x^5+x^2+1\)-\(x^5+x^2\)) की डिग्री क्या है?
What is the degree of (\(x^5+x^2+1\)-\(x^5+x^2\))?
Explanation opens after your attempt
Step 1
Concept
On simplifying, (1) remains. (1) is a non-zero constant polynomial with degree (0).
Step 2
Why this answer is correct
The correct answer is C. (0). On simplifying, (1) remains. (1) is a non-zero constant polynomial with degree (0).
Step 3
Exam Tip
सरल करने पर (1) बचता है। (1) अशून्य नियतांक बहुपद है जिसकी डिग्री (0) है।
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किस मान पर (\(s^2-4\)x-9+(s-2)x-7+4) की डिग्री (0) होगी?
For which value will (\(s^2-4\)x-9+(s-2)x-7+4) have degree (0)?
Explanation opens after your attempt
Step 1
Concept
For degree (0), both \(x^9\) and \(x^7\) terms must vanish. At (s=2), both coefficients become (0).
Step 2
Why this answer is correct
The correct answer is A. (s=2). For degree (0), both \(x^9\) and \(x^7\) terms must vanish. At (s=2), both coefficients become (0).
Step 3
Exam Tip
डिग्री (0) के लिए \(x^9\) और \(x^7\) दोनों पद हटने चाहिए। (s=2) पर दोनों गुणांक (0) हो जाते हैं।
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यदि (A(x)=x-7+3x-2+5) और (B(x)=x-7+3x-2), तो (A(x)-B(x)) की डिग्री क्या है?
If (A(x)=x-7+3x-2+5) and (B(x)=x-7+3x-2), what is the degree of (A(x)-B(x))?
Explanation opens after your attempt
Step 1
Concept
On subtracting, (A(x)-B(x)=5). A non-zero constant polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is D. (0). On subtracting, (A(x)-B(x)=5). A non-zero constant polynomial has degree (0).
Step 3
Exam Tip
घटाने पर (A(x)-B(x)=5) मिलता है। अशून्य नियतांक बहुपद की डिग्री (0) होती है।
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यदि (A(x)=x-6+2) और (B(x)=-x-6+4x-3), तो (A(x)+B(x)) की डिग्री क्या है?
If (A(x)=x-6+2) and (B(x)=-x-6+4x-3), what is the degree of (A(x)+B(x))?
Explanation opens after your attempt
Step 1
Concept
On adding, the \(x^6\) terms cancel and \(4x^3+2\) remains. Its degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). On adding, the \(x^6\) terms cancel and \(4x^3+2\) remains. Its degree is (3).
Step 3
Exam Tip
जोड़ने पर \(x^6\) पद कटते हैं और \(4x^3+2\) बचता है। इसकी डिग्री (3) है।
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यदि (P(x)=\(x^3-4\)\(x^3+4\)-x-6), तो (P(x)) की डिग्री क्या है?
If (P(x)=\(x^3-4\)\(x^3+4\)-x-6), what is the degree of (P(x))?
Explanation opens after your attempt
Step 1
Concept
(\(x^3-4\)\(x^3+4\)=x-6-16). Subtracting \(x^6\) leaves (-16), whose degree is (0).
Step 2
Why this answer is correct
The correct answer is C. (0). (\(x^3-4\)\(x^3+4\)=x-6-16). Subtracting \(x^6\) leaves (-16), whose degree is (0).
Step 3
Exam Tip
(\(x^3-4\)\(x^3+4\)=x-6-16) होता है। \(x^6\) घटाने पर (-16) बचता है जिसकी डिग्री (0) है।
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बहुपद \(3x^a+2x^b+1\) में (a=6) और (b=10) हो, तो डिग्री क्या है?
If (a=6) and (b=10) in \(3x^a+2x^b+1\), what is the degree?
Explanation opens after your attempt
Step 1
Concept
Putting (a=6) and (b=10), the powers are (6), (10), and (0). The highest power is (10).
Step 2
Why this answer is correct
The correct answer is C. (10). Putting (a=6) and (b=10), the powers are (6), (10), and (0). The highest power is (10).
Step 3
Exam Tip
(a=6) और (b=10) रखने पर घातें (6), (10), और (0) हैं। सबसे बड़ी घात (10) है।
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यदि (p(x)=x-3\(x^2+x\)-x-5-x-4+15), तो (p(x)) की डिग्री क्या है?
If (p(x)=x-3\(x^2+x\)-x-5-x-4+15), what is the degree of (p(x))?
Explanation opens after your attempt
Step 1
Concept
(x-3\(x^2+x\)=x-5+x-4), and both variable terms cancel. The remaining (15) has degree (0).
Step 2
Why this answer is correct
The correct answer is C. (0). (x-3\(x^2+x\)=x-5+x-4), and both variable terms cancel. The remaining (15) has degree (0).
Step 3
Exam Tip
(x-3\(x^2+x\)=x-5+x-4) है और दोनों चर पद कट जाते हैं। बचा (15) है जिसकी डिग्री (0) है।
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बहुपद (x-3(x-2)2) की डिग्री क्या है?
What is the degree of (x-3(x-2)2)?
Explanation opens after your attempt
Step 1
Concept
((x-2)2) has degree (2), and there is \(x^3\) outside. The total highest power is (3+2=5).
Step 2
Why this answer is correct
The correct answer is C. (5). ((x-2)2) has degree (2), and there is \(x^3\) outside. The total highest power is (3+2=5).
Step 3
Exam Tip
((x-2)2) की डिग्री (2) है और बाहर \(x^3\) है। कुल उच्चतम घात (3+2=5) होगी।
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यदि ((r+6)x-8+(r+6)x-4+20) की डिग्री (0) है, तो (r) का मान क्या है?
If the degree of ((r+6)x-8+(r+6)x-4+20) is (0), what is the value of (r)?
Explanation opens after your attempt
Step 1
Concept
For degree (0), both variable terms must vanish. From (r+6=0), we get (r=-6).
Step 2
Why this answer is correct
The correct answer is B. (r=-6). For degree (0), both variable terms must vanish. From (r+6=0), we get (r=-6).
Step 3
Exam Tip
डिग्री (0) के लिए दोनों चर पद हटने चाहिए। (r+6=0) से (r=-6) मिलता है।
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यदि (p(x)) की डिग्री (5) और (q(x)) की डिग्री (4) है, तो (p(x)q(x)) की डिग्री सामान्यतः क्या होगी?
If the degree of (p(x)) is (5) and the degree of (q(x)) is (4), what will generally be the degree of (p(x)q(x))?
Explanation opens after your attempt
Step 1
Concept
For the product of non-zero polynomials, degrees generally add. Therefore (5+4=9).
Step 2
Why this answer is correct
The correct answer is C. (9). For the product of non-zero polynomials, degrees generally add. Therefore (5+4=9).
Step 3
Exam Tip
अशून्य बहुपदों के गुणन में डिग्री सामान्यतः जुड़ती है। इसलिए (5+4=9) होगा।
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बहुपद \(x^4y^2+x^2y^5+xy\) की कुल डिग्री क्या है?
What is the total degree of \(x^4y^2+x^2y^5+xy\)?
Explanation opens after your attempt
Step 1
Concept
The total power of \(x^2y^5\) is (2+5=7). This is the highest total power.
Step 2
Why this answer is correct
The correct answer is C. (7). The total power of \(x^2y^5\) is (2+5=7). This is the highest total power.
Step 3
Exam Tip
\(x^2y^5\) की कुल घात (2+5=7) है। यह सबसे बड़ी कुल घात है।
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किस मान पर (\(u^2-36\)x^{10}+(u+6)x-5+7) की डिग्री (0) होगी?
For which value will (\(u^2-36\)x^{10}+(u+6)x-5+7) have degree (0)?
Explanation opens after your attempt
Step 1
Concept
For degree (0), both \(x^{10}\) and \(x^5\) terms must vanish. At (u=-6), both coefficients are (0).
Step 2
Why this answer is correct
The correct answer is B. (u=-6). For degree (0), both \(x^{10}\) and \(x^5\) terms must vanish. At (u=-6), both coefficients are (0).
Step 3
Exam Tip
डिग्री (0) के लिए \(x^{10}\) और \(x^5\) दोनों पद हटने चाहिए। (u=-6) पर दोनों गुणांक (0) हैं।
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यदि (F(x)=3x-9-3x-9+4x-5-4x-5+6x-2-1), तो (F(x)) की डिग्री क्या है?
If (F(x)=3x-9-3x-9+4x-5-4x-5+6x-2-1), what is the degree of (F(x))?
Explanation opens after your attempt
Step 1
Concept
The \(x^9\) and \(x^5\) terms cancel. The remaining \(6x^2-1\) has degree (2).
Step 2
Why this answer is correct
The correct answer is C. (2). The \(x^9\) and \(x^5\) terms cancel. The remaining \(6x^2-1\) has degree (2).
Step 3
Exam Tip
\(x^9\) और \(x^5\) के पद कट जाते हैं। बचा \(6x^2-1\) है जिसकी डिग्री (2) है।
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यदि (R(x)=\(x^4+2x^2\)2-x-8-4x-6+5x), तो (R(x)) की डिग्री क्या है?
If (R(x)=\(x^4+2x^2\)2-x-8-4x-6+5x), what is the degree of (R(x))?
Explanation opens after your attempt
Step 1
Concept
(\(x^4+2x^2\)2=x-8+4x-6+4x-4). After higher terms cancel, \(4x^4+5x\) remains, whose degree is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). (\(x^4+2x^2\)2=x-8+4x-6+4x-4). After higher terms cancel, \(4x^4+5x\) remains, whose degree is (4).
Step 3
Exam Tip
(\(x^4+2x^2\)2=x-8+4x-6+4x-4) होता है। बड़े पद कटने के बाद \(4x^4+5x\) बचता है जिसकी डिग्री (4) है।
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किस मान पर (\(v^2-49\)x^{11}+(v-7)x-6+2x-2-3) की डिग्री (2) होगी?
For which value will (\(v^2-49\)x^{11}+(v-7)x-6+2x-2-3) have degree (2)?
Explanation opens after your attempt
Step 1
Concept
For degree (2), both \(x^{11}\) and \(x^6\) terms must vanish. At (v=7), both coefficients become (0).
Step 2
Why this answer is correct
The correct answer is A. (v=7). For degree (2), both \(x^{11}\) and \(x^6\) terms must vanish. At (v=7), both coefficients become (0).
Step 3
Exam Tip
डिग्री (2) के लिए \(x^{11}\) और \(x^6\) दोनों पद हटने चाहिए। (v=7) पर दोनों गुणांक (0) हो जाते हैं।
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बहुपद (\(x^2+x+1\)\(x^5-x^4+x^3\)-x-7) की डिग्री क्या है?
What is the degree of (\(x^2+x+1\)\(x^5-x^4+x^3\)-x-7)?
Explanation opens after your attempt
Step 1
Concept
The product creates an \(x^7\) term and the outside \(-x^7\) cancels it. The remaining highest power is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). The product creates an \(x^7\) term and the outside \(-x^7\) cancels it. The remaining highest power is (5).
Step 3
Exam Tip
गुणन में \(x^7\) पद बनता है और बाहर का \(-x^7\) उसे काट देता है। बची हुई सबसे बड़ी घात (5) है।
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