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cubic factorization MCQ Questions for Class 10

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7 questions tagged with cubic factorization.

Question 1/7 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-3-12x-2+35x) है, तो ग्राफ के शून्यकों का समूह कौन सा है?

If (p(x)=x-3-12x-2+35x), what is the set of zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (0,5,7)

Step 1

Concept

(x-3-12x-2+35x=x(x-5)(x-7)), so the zeroes are (0), (5), (7). Tip: first take (x) as the common factor.

Step 2

Why this answer is correct

The correct answer is A. (0,5,7). (x-3-12x-2+35x=x(x-5)(x-7)), so the zeroes are (0), (5), (7). Tip: first take (x) as the common factor.

Step 3

Exam Tip

(x-3-12x-2+35x=x(x-5)(x-7)) है, इसलिए शून्यक (0), (5), (7) हैं। टिप: पहले (x) सामान्य गुणनखंड निकालें।

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Question 2/7 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-3-9x-2+18x) है, तो ग्राफ के शून्यकों का माध्य क्या है?

If (p(x)=x-3-9x-2+18x), what is the mean of the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

(p(x)=x(x-3)(x-6)), so the zeroes are (0), (3), (6), and the mean is (3). Tip: factor first.

Step 2

Why this answer is correct

The correct answer is A. (3). (p(x)=x(x-3)(x-6)), so the zeroes are (0), (3), (6), and the mean is (3). Tip: factor first.

Step 3

Exam Tip

(p(x)=x(x-3)(x-6)) है इसलिए शून्यक (0), (3), (6) और माध्य (3) है। टिप: पहले गुणनखंड करें।

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Question 3/7 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-3-10x-2+24x) है, तो ग्राफ के शून्यकों का समूह कौन सा है?

If (p(x)=x-3-10x-2+24x), what is the set of zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (0,4,6)

Step 1

Concept

(x-3-10x-2+24x=x(x-4)(x-6)), so the zeroes are (0), (4), (6). Tip: first take (x) as the common factor.

Step 2

Why this answer is correct

The correct answer is A. (0,4,6). (x-3-10x-2+24x=x(x-4)(x-6)), so the zeroes are (0), (4), (6). Tip: first take (x) as the common factor.

Step 3

Exam Tip

(x-3-10x-2+24x=x(x-4)(x-6)) है, इसलिए शून्यक (0), (4), (6) हैं। टिप: पहले (x) सामान्य गुणनखंड निकालें।

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Question 4/7 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-3-7x-2+10x) है, तो ग्राफ के शून्यकों का माध्य क्या है?

If (p(x)=x-3-7x-2+10x), what is the mean of the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. \(\frac{7}{3}\)

Step 1

Concept

(p(x)=x(x-5)(x-2)), so the zeroes are (0), (2), (5), and the mean is \(\frac{7}{3}\). Tip: factor first.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{7}{3}\). (p(x)=x(x-5)(x-2)), so the zeroes are (0), (2), (5), and the mean is \(\frac{7}{3}\). Tip: factor first.

Step 3

Exam Tip

(p(x)=x(x-5)(x-2)) है, इसलिए शून्यक (0), (2), (5) और माध्य \(\frac{7}{3}\) है। टिप: पहले गुणनखंड करें।

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Question 5/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-3-8x-2+15x) है तो ग्राफ के शून्यकों का समूह कौन सा है?

If (p(x)=x-3-8x-2+15x), what is the set of zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (0,3,5)

Step 1

Concept

(x-3-8x-2+15x=x(x-3)(x-5)), so the zeroes are (0,3,5). Tip: first take (x) as the common factor.

Step 2

Why this answer is correct

The correct answer is A. (0,3,5). (x-3-8x-2+15x=x(x-3)(x-5)), so the zeroes are (0,3,5). Tip: first take (x) as the common factor.

Step 3

Exam Tip

(x-3-8x-2+15x=x(x-3)(x-5)) है इसलिए शून्यक (0,3,5) हैं। टिप: पहले (x) सामान्य गुणनखंड निकालें।

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Question 6/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-3-6x-2+5x) है, तो ग्राफ के शून्यकों का समूह कौन सा है?

If (p(x)=x-3-6x-2+5x), what is the set of zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (0,1,5)

Step 1

Concept

(x-3-6x-2+5x=x(x-1)(x-5)), so the zeroes are (0,1,5). Tip: first take (x) as the common factor.

Step 2

Why this answer is correct

The correct answer is A. (0,1,5). (x-3-6x-2+5x=x(x-1)(x-5)), so the zeroes are (0,1,5). Tip: first take (x) as the common factor.

Step 3

Exam Tip

(x-3-6x-2+5x=x(x-1)(x-5)) है, इसलिए शून्यक (0,1,5) हैं। टिप: पहले (x) सामान्य गुणनखंड निकालें।

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Question 7/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-3-4x-2-5x) है, तो ग्राफ के शून्यकों का समूह कौन सा है?

If (p(x)=x-3-4x-2-5x), what is the set of zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (0, -1, 5)

Step 1

Concept

(x-3-4x-2-5x=x(x-5)(x+1)), so the zeroes are (0), (5), (-1). Tip: first take (x) as the common factor.

Step 2

Why this answer is correct

The correct answer is A. (0, -1, 5). (x-3-4x-2-5x=x(x-5)(x+1)), so the zeroes are (0), (5), (-1). Tip: first take (x) as the common factor.

Step 3

Exam Tip

(x-3-4x-2-5x=x(x-5)(x+1)), इसलिए शून्यक (0), (5), (-1) हैं। टिप: पहले (x) सामान्य गुणनखंड निकालें।

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