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cubic polynomial MCQ Questions for Class 10

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16 questions tagged with cubic polynomial.

Question 1/16 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x-3+ax-2+bx+20), (p(1)=0) और (p(-4)=0), तो (a-b) का मान क्या है?

If (p(x)=x-3+ax-2+bx+20), (p(1)=0), and (p(-4)=0), what is the value of (a-b)?

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

The conditions give (a+b=-21) and (4a-b=11), so (a=-2), (b=-19), and (a-b=17). When two zeros are given, form two equations.

Step 2

Why this answer is correct

The correct answer is C. (17). The conditions give (a+b=-21) and (4a-b=11), so (a=-2), (b=-19), and (a-b=17). When two zeros are given, form two equations.

Step 3

Exam Tip

शर्तों से (a+b=-21) और (4a-b=11) मिलते हैं, इसलिए (a=-2), (b=-19) और (a-b=17)। दो शून्य दिए हों तो दो समीकरण बनाएं।

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Question 2/16 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=kx-3+2x-2-7x+5) और (p(-1)=16), तो (k) का मान क्या है?

If (p(x)=kx-3+2x-2-7x+5) and (p(-1)=16), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

A. (-2)

Step 1

Concept

(p(-1)=-k+2+7+5=14-k), so (14-k=16) and (k=-2). Watch signs carefully when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is A. (-2). (p(-1)=-k+2+7+5=14-k), so (14-k=16) and (k=-2). Watch signs carefully when substituting a negative value.

Step 3

Exam Tip

(p(-1)=-k+2+7+5=14-k), इसलिए (14-k=16) और (k=-2)। ऋणात्मक मान रखने पर संकेतों को ध्यान से देखें।

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Question 3/16 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=x-3+ax-2+bx-12), (p(2)=0) और (p(3)=0), तो (a+b) का मान क्या है?

If (p(x)=x-3+ax-2+bx-12), (p(2)=0), and (p(3)=0), what is the value of (a+b)?

Explanation opens after your attempt
Correct Answer

C. (9)

Step 1

Concept

The conditions give (2a+b=2) and (3a+b=-5), so (a=-7), (b=16), and (a+b=9). When two values are given, form two equations.

Step 2

Why this answer is correct

The correct answer is C. (9). The conditions give (2a+b=2) and (3a+b=-5), so (a=-7), (b=16), and (a+b=9). When two values are given, form two equations.

Step 3

Exam Tip

शर्तों से (2a+b=2) और (3a+b=-5) मिलते हैं, इसलिए (a=-7), (b=16) और (a+b=9)। दो मान दिए हों तो दो समीकरण बनाएं।

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Question 4/16 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=kx-3-2x-2+5x-4) और (p(1)=7), तो (k) का मान क्या है?

If (p(x)=kx-3-2x-2+5x-4) and (p(1)=7), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

(p(1)=k-2+5-4=k-1), so (k-1=7) and (k=8). Substitute first and then form a simple equation.

Step 2

Why this answer is correct

The correct answer is C. (8). (p(1)=k-2+5-4=k-1), so (k-1=7) and (k=8). Substitute first and then form a simple equation.

Step 3

Exam Tip

(p(1)=k-2+5-4=k-1), इसलिए (k-1=7) और (k=8)। मान रखने के बाद सरल समीकरण बनाएं।

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Question 5/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=x-3-2x-2-5x+6) के लिए कौन सा मान (p(x)=0) बनाता है?

For (p(x)=x-3-2x-2-5x+6), which value makes (p(x)=0)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(p(1)=1-2-5+6=0), so (1) is a zero of this polynomial. Substituting options is a quick method.

Step 2

Why this answer is correct

The correct answer is A. (1). (p(1)=1-2-5+6=0), so (1) is a zero of this polynomial. Substituting options is a quick method.

Step 3

Exam Tip

(p(1)=1-2-5+6=0), इसलिए (1) इस बहुपद का शून्य है। विकल्पों को रखकर जांचना तेज तरीका है।

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Question 6/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=x-3-4x-2+x+6) में (p(-1)) का मान क्या है?

What is the value of (p(-1)) in (p(x)=x-3-4x-2+x+6)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.

Step 3

Exam Tip

(p(-1)=-1-4-1+6=0)। इसलिए (-1) इस बहुपद का शून्य है।

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Question 7/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प \(2x^3-5x^2+x-4\) की घात और नियत पद को सही बताता है?

Which option correctly gives the degree and constant term of \(2x^3-5x^2+x-4\)?

Explanation opens after your attempt
Correct Answer

A. घात (3), नियत पद (-4)Degree (3), constant term (-4)

Step 1

Concept

The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 2

Why this answer is correct

The correct answer is A. घात (3), नियत पद (-4) / Degree (3), constant term (-4). The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 3

Exam Tip

सबसे बड़ी घात (3) है और बिना (x) वाला पद (-4) है। इसलिए सही जोड़ी घात (3), नियत पद (-4) है।

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Question 8/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x-3-2x-2+x), तो (p(1)) का मान क्या है?

If (p(x)=x-3-2x-2+x), what is the value of (p(1))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.

Step 3

Exam Tip

(p(1)=1-2+1=0) है। इसलिए (1) इस बहुपद का शून्य है।

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Question 9/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (r(x)=x-3-4x), तो (r(-2)) का मान क्या है?

If (r(x)=x-3-4x), what is the value of (r(-2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(r(-2)=(-2)3-4(-2)=-8+8=0). Brackets are important for negative values.

Step 2

Why this answer is correct

The correct answer is A. (0). (r(-2)=(-2)3-4(-2)=-8+8=0). Brackets are important for negative values.

Step 3

Exam Tip

(r(-2)=(-2)3-4(-2)=-8+8=0) है। ऋणात्मक मानों में कोष्ठक लगाना जरूरी है।

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Question 10/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=x-3-3x-2+3x-1) का कौन सा मान (0) देता है?

Which value gives (0) for the polynomial (p(x)=x-3-3x-2+3x-1)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

(p(1)=1-3+3-1=0), so (1) is a zero of this polynomial. Substituting options can quickly identify the zero.

Step 2

Why this answer is correct

The correct answer is B. (1). (p(1)=1-3+3-1=0), so (1) is a zero of this polynomial. Substituting options can quickly identify the zero.

Step 3

Exam Tip

(p(1)=1-3+3-1=0), इसलिए (1) इस बहुपद का शून्य है। विकल्पों को रखने से शून्य जल्दी मिल सकता है।

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Question 11/16 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद का प्रमुख गुणांक (-2) है?

Which polynomial has leading coefficient (-2)?

Explanation opens after your attempt
Correct Answer

B. \(-2x^3+4x+7\)

Step 1

Concept

The leading term of \(-2x^3+4x+7\) is \(-2x^3\). So the leading coefficient is (-2).

Step 2

Why this answer is correct

The correct answer is B. \(-2x^3+4x+7\). The leading term of \(-2x^3+4x+7\) is \(-2x^3\). So the leading coefficient is (-2).

Step 3

Exam Tip

\(-2x^3+4x+7\) का प्रमुख पद \(-2x^3\) है। इसलिए प्रमुख गुणांक (-2) है।

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Question 12/16 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=x-3-6x-2+11x-6) में (p(1)) का मान क्या है?

What is the value of (p(1)) in (p(x)=x-3-6x-2+11x-6)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(1)=1-6+11-6=0). Therefore (1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=1-6+11-6=0). Therefore (1) is a zero of this polynomial.

Step 3

Exam Tip

(p(1)=1-6+11-6=0)। इसलिए (1) इस बहुपद का शून्य है।

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Question 13/16 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से त्रिघात बहुपद कौन सा है?

Which of the following is a cubic polynomial?

Explanation opens after your attempt
Correct Answer

A. \(x^3-4x+2\)

Step 1

Concept

A cubic polynomial has degree (3). In \(x^3-4x+2\), the highest power is (3).

Step 2

Why this answer is correct

The correct answer is A. \(x^3-4x+2\). A cubic polynomial has degree (3). In \(x^3-4x+2\), the highest power is (3).

Step 3

Exam Tip

त्रिघात बहुपद की घात (3) होती है। \(x^3-4x+2\) में सबसे बड़ी घात (3) है।

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Question 14/16 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=x-3-1) के लिए (p(1)) का मान क्या है?

For (p(x)=x-3-1), what is the value of (p(1))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(1)=13-1=0). In exams, substitute (x=1) directly to find the value.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=13-1=0). In exams, substitute (x=1) directly to find the value.

Step 3

Exam Tip

(p(1)=13-1=0)। परीक्षा में सीधे (x=1) रखकर मान निकालें।

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Question 15/16 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा बहुपद घन बहुपद है?

Which polynomial is a cubic polynomial?

Explanation opens after your attempt
Correct Answer

A. \(x^3-2x+1\)

Step 1

Concept

A cubic polynomial has degree (3). The highest power in \(x^3-2x+1\) is (3).

Step 2

Why this answer is correct

The correct answer is A. \(x^3-2x+1\). A cubic polynomial has degree (3). The highest power in \(x^3-2x+1\) is (3).

Step 3

Exam Tip

घन बहुपद की घात (3) होती है। \(x^3-2x+1\) की सबसे बड़ी घात (3) है।

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Question 16/16 Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

यदि (p(x)=x-3-2x), तो (p\(\sqrt{2}\)) क्या है?

If (p(x)=x-3-2x), what is (p\(\sqrt{2}\))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(\(\sqrt{2}\)3=2\sqrt{2}), so \(2\sqrt{2}-2\sqrt{2}=0\). Remember (\(\sqrt{a}\)3=a\sqrt{a}).

Step 2

Why this answer is correct

The correct answer is A. (0). (\(\sqrt{2}\)3=2\sqrt{2}), so \(2\sqrt{2}-2\sqrt{2}=0\). Remember (\(\sqrt{a}\)3=a\sqrt{a}).

Step 3

Exam Tip

(\(\sqrt{2}\)3=2\sqrt{2}), इसलिए \(2\sqrt{2}-2\sqrt{2}=0\) है। परीक्षा में (\(\sqrt{a}\)3=a\sqrt{a}) याद रखें।

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