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polynomial MCQ Questions for Class 10

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135 questions tagged with polynomial.

Question 91/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(x^4-6x^2+9\) में कितने गैर-शून्य पद हैं?

How many non-zero terms are there in \(x^4-6x^2+9\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

The non-zero terms are \(x^4\), \(-6x^2\), and (9). So there are (3) non-zero terms.

Step 2

Why this answer is correct

The correct answer is B. (3). The non-zero terms are \(x^4\), \(-6x^2\), and (9). So there are (3) non-zero terms.

Step 3

Exam Tip

गैर-शून्य पद \(x^4\), \(-6x^2\) और (9) हैं। इसलिए कुल (3) गैर-शून्य पद हैं।

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Question 92/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद में (x) का गुणांक (0) है?

In which of the following polynomials is the coefficient of (x) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. \(3x^2-4\)

Step 1

Concept

In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^2-4\). In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).

Step 3

Exam Tip

\(3x^2-4\) में (x) का पद नहीं है। इसलिए (x) का गुणांक (0) है।

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Question 93/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=2x-3+mx-2-x+4) में \(x^2\) का गुणांक (-5) है, तो (m) क्या है?

If the coefficient of \(x^2\) in (p(x)=2x-3+mx-2-x+4) is (-5), what is (m)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).

Step 2

Why this answer is correct

The correct answer is B. (-5). The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).

Step 3

Exam Tip

\(x^2\) के साथ लगा गुणक (m) है। दिया है (m=-5), इसलिए उत्तर (-5) है।

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Question 94/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(4x^3-2x^2+7x-9\) में \(x^2\) के गुणांक और नियत पद का योग क्या है?

In the polynomial \(4x^3-2x^2+7x-9\), what is the sum of the coefficient of \(x^2\) and the constant term?

Explanation opens after your attempt
Correct Answer

A. (-11)

Step 1

Concept

The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).

Step 2

Why this answer is correct

The correct answer is A. (-11). The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).

Step 3

Exam Tip

\(x^2\) का गुणांक (-2) और नियत पद (-9) है। उनका योग (-11) है।

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Question 95/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=2x-3-5x-2+7x-4) में (p(0)+p(1)) का मान क्या है?

What is the value of (p(0)+p(1)) for (p(x)=2x-3-5x-2+7x-4)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(0)=-4) and (p(1)=2-5+7-4=0), so (p(0)+p(1)=-4). Always substitute each value separately before adding.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(0)=-4) and (p(1)=2-5+7-4=0), so (p(0)+p(1)=-4). Always substitute each value separately before adding.

Step 3

Exam Tip

(p(0)=-4) और (p(1)=2-5+7-4=0), इसलिए योग (-4+4=0) नहीं बल्कि (-4+0=-4)। सही गणना में (p(0)+p(1)=-4) होता है।

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Question 96/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=(m-2)x-3+4x-2-7) की घात (2) है, तो (m) का मान क्या होगा?

If the degree of (p(x)=(m-2)x-3+4x-2-7) is (2), what will be the value of (m)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

For the degree to be (2), the coefficient of \(x^3\) must be (0), so (m-2=0) and (m=2). In exams, check the coefficient of the highest power first.

Step 2

Why this answer is correct

The correct answer is B. (2). For the degree to be (2), the coefficient of \(x^3\) must be (0), so (m-2=0) and (m=2). In exams, check the coefficient of the highest power first.

Step 3

Exam Tip

घात (2) होने के लिए \(x^3\) का गुणांक (0) होना चाहिए, इसलिए (m-2=0) और (m=2)। परीक्षा में सबसे ऊंची घात के गुणांक को पहले देखें।

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Question 97/135 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(4x^2-6x+1\) में कुल कितने पद हैं?

How many terms are there in \(4x^2-6x+1\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

It has the terms \(4x^2\), (-6x), and (1). Therefore it is a trinomial.

Step 2

Why this answer is correct

The correct answer is C. (3). It has the terms \(4x^2\), (-6x), and (1). Therefore it is a trinomial.

Step 3

Exam Tip

इसमें पद \(4x^2\), (-6x) और (1) हैं। इसलिए यह त्रिपदी है।

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Question 98/135 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(5x^3+2x^2-x+8\) में \(x^3\) का गुणांक क्या है?

What is the coefficient of \(x^3\) in \(5x^3+2x^2-x+8\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

The multiplier of \(x^3\) is (5). A coefficient is identified from its related term.

Step 2

Why this answer is correct

The correct answer is A. (5). The multiplier of \(x^3\) is (5). A coefficient is identified from its related term.

Step 3

Exam Tip

\(x^3\) के साथ लगा गुणक (5) है। गुणांक हमेशा संबंधित पद से पहचाना जाता है।

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Question 99/135 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा (x) में बहुपद है जिसकी घात (4) है?

Which of the following is a polynomial in (x) with degree (4)?

Explanation opens after your attempt
Correct Answer

A. \(x^4-2x+7\)

Step 1

Concept

In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.

Step 2

Why this answer is correct

The correct answer is A. \(x^4-2x+7\). In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.

Step 3

Exam Tip

\(x^4-2x+7\) में सबसे बड़ी घात (4) है। घात पहचानने के लिए सबसे बड़ी शक्ति देखें।

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Question 100/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=x-2-5x+6) के लिए (p(0)) क्या है?

For (p(x)=x-2-5x+6), what is (p(0))?

Explanation opens after your attempt
Correct Answer

D. (6)

Step 1

Concept

(p(0)=0-0+6=6). When (x=0), only the constant term remains.

Step 2

Why this answer is correct

The correct answer is D. (6). (p(0)=0-0+6=6). When (x=0), only the constant term remains.

Step 3

Exam Tip

(p(0)=0-0+6=6)। (x=0) रखने पर केवल अचर पद बचता है।

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Question 101/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किसी बहुपद में (x) की घातें कैसी होनी चाहिए?

What should the powers of (x) be in a polynomial?

Explanation opens after your attempt
Correct Answer

C. अऋणात्मक पूर्णांकNon-negative integers

Step 1

Concept

In a polynomial, powers of the variable are non-negative integers like \(0,1,2,\ldots\). This is the key identification rule.

Step 2

Why this answer is correct

The correct answer is C. अऋणात्मक पूर्णांक / Non-negative integers. In a polynomial, powers of the variable are non-negative integers like \(0,1,2,\ldots\). This is the key identification rule.

Step 3

Exam Tip

बहुपद में चर की घातें \(0,1,2,\ldots\) जैसी अऋणात्मक पूर्णांक होती हैं। यही सबसे महत्वपूर्ण पहचान नियम है।

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Question 102/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=x-4+2x-2+1) में कौन सी घात अनुपस्थित है?

Which power is missing in (p(x)=x-4+2x-2+1)?

Explanation opens after your attempt
Correct Answer

B. \(x^3\)

Step 1

Concept

The term \(x^3\) is not present in this polynomial. A missing term has coefficient (0).

Step 2

Why this answer is correct

The correct answer is B. \(x^3\). The term \(x^3\) is not present in this polynomial. A missing term has coefficient (0).

Step 3

Exam Tip

इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) होता है।

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Question 103/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=2x-2+0x+3) में (x) का गुणांक क्या है?

What is the coefficient of (x) in (p(x)=2x-2+0x+3)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).

Step 2

Why this answer is correct

The correct answer is A. (0). The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).

Step 3

Exam Tip

(x) वाला पद (0x) है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद का गुणांक (0) मानें।

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Question 104/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=7x-14) का शून्य क्या है?

What is the zero of (p(x)=7x-14)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

From (7x-14=0), we get (x=2). Solve the equation to find the zero of a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). From (7x-14=0), we get (x=2). Solve the equation to find the zero of a linear polynomial.

Step 3

Exam Tip

(7x-14=0) से (x=2) मिलता है। रैखिक बहुपद का शून्य जल्दी निकालने के लिए समीकरण हल करें।

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Question 105/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=x-2+kx+6) और (p(2)=0), तो (k) क्या है?

If (p(x)=x-2+kx+6) and (p(2)=0), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

(p(2)=4+2k+6=0), so (2k=-10) and (k=-5). Substitute the zero and form an equation.

Step 2

Why this answer is correct

The correct answer is A. (-5). (p(2)=4+2k+6=0), so (2k=-10) and (k=-5). Substitute the zero and form an equation.

Step 3

Exam Tip

(p(2)=4+2k+6=0), इसलिए (2k=-10) और (k=-5)। शून्य की शर्त में मान रखकर समीकरण बनाएं।

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Question 106/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

((2x-1)(x+5)) को सरल करने पर क्या मिलेगा?

What is obtained by simplifying ((2x-1)(x+5))?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+9x-5\)

Step 1

Concept

((2x-1)(x+5)=2x-2+10x-x-5=2x-2+9x-5). Multiply each term by each term.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+9x-5\). ((2x-1)(x+5)=2x-2+10x-x-5=2x-2+9x-5). Multiply each term by each term.

Step 3

Exam Tip

((2x-1)(x+5)=2x-2+10x-x-5=2x-2+9x-5)। हर पद का हर पद से गुणा करें।

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Question 107/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

((x+3)(x-4)) का बहुपद रूप क्या है?

What is the polynomial form of ((x+3)(x-4))?

Explanation opens after your attempt
Correct Answer

A. \(x^2-x-12\)

Step 1

Concept

((x+3)(x-4)=x-2-4x+3x-12=x-2-x-12). Watch signs while combining middle terms.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-x-12\). ((x+3)(x-4)=x-2-4x+3x-12=x-2-x-12). Watch signs while combining middle terms.

Step 3

Exam Tip

((x+3)(x-4)=x-2-4x+3x-12=x-2-x-12)। मध्य पद जोड़ते समय संकेत देखें।

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Question 108/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(2x\(3x^2-5x+1\)) का सरल रूप क्या है?

What is the simplified form of (2x\(3x^2-5x+1\))?

Explanation opens after your attempt
Correct Answer

A. \(6x^3-10x^2+2x\)

Step 1

Concept

Multiplying each term by (2x) gives \(6x^3-10x^2+2x\). Use the distributive property.

Step 2

Why this answer is correct

The correct answer is A. \(6x^3-10x^2+2x\). Multiplying each term by (2x) gives \(6x^3-10x^2+2x\). Use the distributive property.

Step 3

Exam Tip

प्रत्येक पद को (2x) से गुणा करने पर \(6x^3-10x^2+2x\) मिलता है। वितरण नियम का प्रयोग करें।

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Question 109/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन सा बहुपद मानक रूप में अवरोही घातों में लिखा गया है?

Which polynomial is written in standard form with descending powers?

Explanation opens after your attempt
Correct Answer

B. \(5x^3+2x-1\)

Step 1

Concept

In standard form, terms are written from highest power to lowest power. \(5x^3+2x-1\) follows this order.

Step 2

Why this answer is correct

The correct answer is B. \(5x^3+2x-1\). In standard form, terms are written from highest power to lowest power. \(5x^3+2x-1\) follows this order.

Step 3

Exam Tip

मानक रूप में बड़ी घात से छोटी घात की ओर लिखते हैं। \(5x^3+2x-1\) इसी क्रम में है।

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Question 110/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=4x-3-2x-2+7x-1) में \(x^3\) के पद का गुणांक क्या है?

What is the coefficient of the \(x^3\) term in (p(x)=4x-3-2x-2+7x-1)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The coefficient attached to \(x^3\) is (4). Identify the exponent and coefficient separately.

Step 2

Why this answer is correct

The correct answer is A. (4). The coefficient attached to \(x^3\) is (4). Identify the exponent and coefficient separately.

Step 3

Exam Tip

\(x^3\) के साथ गुणांक (4) जुड़ा है। घात और गुणांक को अलग अलग पहचानें।

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Question 111/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(y)=9y-4-y-2+5y-6) का अग्र गुणांक क्या है?

What is the leading coefficient of (p(y)=9y-4-y-2+5y-6)?

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

The coefficient of the highest power term \(y^4\) is (9). That is the leading coefficient.

Step 2

Why this answer is correct

The correct answer is A. (9). The coefficient of the highest power term \(y^4\) is (9). That is the leading coefficient.

Step 3

Exam Tip

सबसे बड़ी घात \(y^4\) के पद का गुणांक (9) है। अग्र गुणांक वही होता है।

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Question 112/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=2x-2+kx+8) में (x) का गुणांक (5) हो तो (k) क्या है?

If the coefficient of (x) in (p(x)=2x-2+kx+8) is (5), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

In (kx), the coefficient of (x) is (k). It is given that (k=5).

Step 2

Why this answer is correct

The correct answer is B. (5). In (kx), the coefficient of (x) is (k). It is given that (k=5).

Step 3

Exam Tip

(kx) में (x) का गुणांक (k) है। दिया है (k=5)।

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Question 113/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(t)=6t-2-7t+3) में चर कौन सा है?

What is the variable in the polynomial (p(t)=6t-2-7t+3)?

Explanation opens after your attempt
Correct Answer

B. (t)

Step 1

Concept

The letter whose value can vary is the variable. Here the variable is (t).

Step 2

Why this answer is correct

The correct answer is B. (t). The letter whose value can vary is the variable. Here the variable is (t).

Step 3

Exam Tip

जिस अक्षर का मान बदल सकता है वह चर है। यहां चर (t) है।

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Question 114/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

\(3x^4+0x^3-2x+5\) की घात क्या है?

What is the degree of \(3x^4+0x^3-2x+5\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The term \(0x^3\) is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.

Step 2

Why this answer is correct

The correct answer is C. (4). The term \(0x^3\) is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.

Step 3

Exam Tip

\(0x^3\) पद प्रभावी नहीं है और सबसे बड़ी अशून्य घात (4) है। शून्य गुणांक वाले पद को नजरअंदाज करें।

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Question 115/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(q(x)=x-3-4x-2+x+6) के लिए (q(-1)) क्या होगा?

For (q(x)=x-3-4x-2+x+6), what is (q(-1))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(q(-1)=-1-4-1+6=0). Pay attention to signs while using powers of a negative number.

Step 2

Why this answer is correct

The correct answer is A. (0). (q(-1)=-1-4-1+6=0). Pay attention to signs while using powers of a negative number.

Step 3

Exam Tip

(q(-1)=-1-4-1+6=0)। ऋणात्मक संख्या की घात लगाते समय संकेत पर ध्यान दें।

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Question 116/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=3x-2-2x+5) के लिए (p(2)) का मान क्या है?

For (p(x)=3x-2-2x+5), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

(p(2)=3(2)2-2(2)+5=13). Substitute the given number for (x) carefully.

Step 2

Why this answer is correct

The correct answer is C. (13). (p(2)=3(2)2-2(2)+5=13). Substitute the given number for (x) carefully.

Step 3

Exam Tip

(p(2)=3(2)2-2(2)+5=13)। मान निकालते समय (x) की जगह दी गई संख्या रखें।

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Question 117/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=2x-3-5x-2+4x-1) में कितने पद हैं?

How many terms are there in (p(x)=2x-3-5x-2+4x-1)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The separate terms are \(2x^3\), \(-5x^2\), (4x), and (-1). Count terms with their signs.

Step 2

Why this answer is correct

The correct answer is C. (4). The separate terms are \(2x^3\), \(-5x^2\), (4x), and (-1). Count terms with their signs.

Step 3

Exam Tip

अलग अलग पद \(2x^3\), \(-5x^2\), (4x) और (-1) हैं। चिह्न के साथ पद गिनें।

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Question 118/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

व्यंजक \(5x^4-8x+11\) में अचर पद कौन सा है?

Which is the constant term in \(5x^4-8x+11\)?

Explanation opens after your attempt
Correct Answer

C. (11)

Step 1

Concept

The term without (x) is the constant term. Here the constant term is (11).

Step 2

Why this answer is correct

The correct answer is C. (11). The term without (x) is the constant term. Here the constant term is (11).

Step 3

Exam Tip

जिस पद में (x) नहीं होता वह अचर पद है। यहां अचर पद (11) है।

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Question 119/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

व्यंजक \(7x^3+2x^2-x+6\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(7x^3+2x^2-x+6\)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

The numerical factor attached to \(x^2\) is (2). When coefficient is asked, identify the exact term.

Step 2

Why this answer is correct

The correct answer is B. (2). The numerical factor attached to \(x^2\) is (2). When coefficient is asked, identify the exact term.

Step 3

Exam Tip

\(x^2\) के साथ लगा संख्या गुणक (2) है। गुणांक पूछने पर उसी पद को पहचानें।

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Question 120/135 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=4x-5-3x-2+9) की घात क्या है?

What is the degree of the polynomial (p(x)=4x-5-3x-2+9)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). Always check the highest exponent.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). Always check the highest exponent.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। हमेशा सबसे ऊंची घात देखें।

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