Concept-wise Practice

factor_check MCQ Questions for Class 10

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

Practice Questions

2 questions tagged with factor_check.

यदि (p(x)=x-3-7x+6), तो इनमें से कौन-सा (p(x)) का गुणनखंड नहीं है?

If (p(x)=x-3-7x+6), which of the following is not a factor of (p(x))?

Explanation opens after your attempt
Correct Answer

A. (x+3)

Step 1

Concept

(p(-3)=-27+21+6=0), so (x+3) is actually a factor. This reveals an option error, so check each option using (p(a)).

Step 2

Why this answer is correct

The correct answer is A. (x+3). (p(-3)=-27+21+6=0), so (x+3) is actually a factor. This reveals an option error, so check each option using (p(a)).

Step 3

Exam Tip

(p(-3)=-27+21+6=0), इसलिए (x+3) वास्तव में गुणनखंड है। सही जाँच में यह प्रश्न विकल्प-त्रुटि दिखाता है, इसलिए हर विकल्प को (p(a)) से जाँचें।

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बहुपद \(2x^3-9x^2+13x-6\) का एक गुणनखंड कौन सा है?

Which is a factor of \(2x^3-9x^2+13x-6\)?

Explanation opens after your attempt
Correct Answer

A. (x-1)

Step 1

Concept

(p(1)=2-9+13-6=0), so (x-1) is a factor. In option checking, try small values first.

Step 2

Why this answer is correct

The correct answer is A. (x-1). (p(1)=2-9+13-6=0), so (x-1) is a factor. In option checking, try small values first.

Step 3

Exam Tip

(p(1)=2-9+13-6=0) है इसलिए (x-1) गुणनखंड है। विकल्प जांच में छोटे मान पहले लगाएं।

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