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Mathematics Factorisation MCQ Questions for Class 9

Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.

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Factorisation Practice Questions

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\(x^2-16\) का गुणनखंड रूप क्या है?

What is the factorized form of \(x^2-16\)?

Explanation opens after your attempt
Correct Answer

A. ((x-4)(x+4))

Step 1

Concept

\(x^2-16=x^2-4^2\). Apply the difference of squares formula.

Step 2

Why this answer is correct

The correct answer is A. ((x-4)(x+4)). \(x^2-16=x^2-4^2\). Apply the difference of squares formula.

Step 3

Exam Tip

\(x^2-16=x^2-4^2\) है। अंतर वर्ग सूत्र लगाएँ।

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(2x+6) का सामान्य गुणनखंड क्या है?

What is the common factor of (2x+6)?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

Both (2x) and (6) have (2) as common. Take out the simplest common factor first.

Step 2

Why this answer is correct

The correct answer is A. (2). Both (2x) and (6) have (2) as common. Take out the simplest common factor first.

Step 3

Exam Tip

(2x) और (6) दोनों में (2) सामान्य है। सबसे सरल सामान्य गुणनखंड पहले निकालें।

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(3a+3b) का गुणनखंड रूप क्या है?

What is the factorized form of (3a+3b)?

Explanation opens after your attempt
Correct Answer

A. (3(a+b))

Step 1

Concept

Both terms have (3) in common. Write the common factor outside.

Step 2

Why this answer is correct

The correct answer is A. (3(a+b)). Both terms have (3) in common. Write the common factor outside.

Step 3

Exam Tip

दोनों पदों में (3) सामान्य है। सामान्य गुणनखंड बाहर लिखें।

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(ab+ac) का गुणनखंड रूप क्या है?

What is the factorized form of (ab+ac)?

Explanation opens after your attempt
Correct Answer

A. (a(b+c))

Step 1

Concept

Both terms have (a) in common. Therefore (a(b+c)) is correct.

Step 2

Why this answer is correct

The correct answer is A. (a(b+c)). Both terms have (a) in common. Therefore (a(b+c)) is correct.

Step 3

Exam Tip

दोनों पदों में (a) सामान्य है। इसलिए (a(b+c)) सही रूप है।

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\(x^2+5x\) का गुणनखंड रूप क्या है?

What is the factorized form of \(x^2+5x\)?

Explanation opens after your attempt
Correct Answer

A. (x(x+5))

Step 1

Concept

Both terms have (x) in common. Taking (x) out gives (x(x+5)).

Step 2

Why this answer is correct

The correct answer is A. (x(x+5)). Both terms have (x) in common. Taking (x) out gives (x(x+5)).

Step 3

Exam Tip

दोनों पदों में (x) सामान्य है। (x) बाहर लेने पर (x(x+5)) मिलता है।

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Factorisation FAQs

How can I practice Factorisation MCQs?

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Are answers available for Factorisation questions?

Yes, questions include answer feedback and explanations for revision.

Is this topic useful for Class 9 exams?

Yes, this topic page is arranged for chapter-wise revision and exam practice.