Concept-wise Practice

binomials MCQ Questions for Class 10

binomials se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

5 questions tagged with binomials.

((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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((3x+2)2-(3x-2)2) का सरल रूप क्या है?

What is the simplified form of ((3x+2)2-(3x-2)2)?

Explanation opens after your attempt
Correct Answer

A. (,24x,)

Step 1

Concept

This is of the form ((A+B)2-(A-B)2=4AB), where (A=3x) and (B=2), so the answer is (24x). In exams, identities save time.

Step 2

Why this answer is correct

The correct answer is A. (,24x,). This is of the form ((A+B)2-(A-B)2=4AB), where (A=3x) and (B=2), so the answer is (24x). In exams, identities save time.

Step 3

Exam Tip

यह ((A+B)2-(A-B)2=4AB) का रूप है, जहां (A=3x) और (B=2), इसलिए उत्तर (24x) है। परीक्षा में identity से समय बचता है।

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((2x-1)(3x+4)) का विस्तार क्या होगा?

What is the expansion of ((2x-1)(3x+4))?

Explanation opens after your attempt
Correct Answer

A. \(,6x^2+5x-4,\)

Step 1

Concept

By distribution, \(6x^2+8x-3x-4=6x^2+5x-4\). In exams, combine cross terms with the correct sign.

Step 2

Why this answer is correct

The correct answer is A. \(,6x^2+5x-4,\). By distribution, \(6x^2+8x-3x-4=6x^2+5x-4\). In exams, combine cross terms with the correct sign.

Step 3

Exam Tip

वितरण से \(6x^2+8x-3x-4=6x^2+5x-4\) मिलता है। परीक्षा में cross terms को सही sign के साथ जोड़ें।

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((x+4)(x+3)) का विस्तार क्या है?

What is the expansion of ((x+4)(x+3))?

Explanation opens after your attempt
Correct Answer

A. \(x^2+7x+12\)

Step 1

Concept

By distribution, \(x^2+3x+4x+12=x^2+7x+12\). Combine like terms.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+7x+12\). By distribution, \(x^2+3x+4x+12=x^2+7x+12\). Combine like terms.

Step 3

Exam Tip

वितरण नियम से \(x^2+3x+4x+12=x^2+7x+12\) मिलता है। समान पदों को जोड़ें।

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((x+3)(x+2)) का विस्तार क्या है?

What is the expansion of ((x+3)(x+2))?

Explanation opens after your attempt
Correct Answer

A. \(x^2+5x+6\)

Step 1

Concept

By distribution, \(x^2+2x+3x+6=x^2+5x+6\). The middle term forms by combining like terms.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+5x+6\). By distribution, \(x^2+2x+3x+6=x^2+5x+6\). The middle term forms by combining like terms.

Step 3

Exam Tip

वितरण नियम से \(x^2+2x+3x+6=x^2+5x+6\)। मध्य पद समान पद जोड़कर बनता है।

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