Concept-wise Practice

factor sign MCQ Questions for Class 10

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

Practice Questions

4 questions tagged with factor sign.

Question 1/4 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=-(x+8)(x-2)(x-6)) है, तो (2<x<6) में ग्राफ (x)-अक्ष के किस ओर होगा?

If (p(x)=-(x+8)(x-2)(x-6)), on which side of the (x)-axis will the graph lie for (2<x<6)?

Explanation opens after your attempt
Correct Answer

A. ऊपरAbove

Step 1

Concept

In this interval the factor signs are (+), (+), (-), and the outside negative makes the value positive. Tip: apply the outside sign at the end.

Step 2

Why this answer is correct

The correct answer is A. ऊपर / Above. In this interval the factor signs are (+), (+), (-), and the outside negative makes the value positive. Tip: apply the outside sign at the end.

Step 3

Exam Tip

इस अंतराल में कारकों के चिह्न (+), (+), (-) हैं और बाहर का ऋण चिन्ह मान को धनात्मक बनाता है। टिप: बाहरी चिन्ह को अंत में लगाएं।

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Question 2/4 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=-(x-3)(x+7)(x-1)) है, तो (1<x<3) में ग्राफ (x)-अक्ष के किस ओर होगा?

If (p(x)=-(x-3)(x+7)(x-1)), on which side of the (x)-axis will the graph lie for (1<x<3)?

Explanation opens after your attempt
Correct Answer

A. ऊपरAbove

Step 1

Concept

In this interval the factor signs are (-), (+), (+), and the outside negative makes the value positive. Tip: apply the outside sign at the end.

Step 2

Why this answer is correct

The correct answer is A. ऊपर / Above. In this interval the factor signs are (-), (+), (+), and the outside negative makes the value positive. Tip: apply the outside sign at the end.

Step 3

Exam Tip

इस अंतराल में कारकों के चिह्न (-), (+), (+) हैं और बाहर का ऋण चिन्ह मान को धनात्मक बनाता है। टिप: बाहरी चिन्ह को अंत में लगाएं।

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Question 3/4 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=-(x+5)(x-1)) है तो (-5<x<1) में ग्राफ (x)-अक्ष के किस ओर होगा?

If (p(x)=-(x+5)(x-1)), on which side of the (x)-axis will the graph lie for (-5<x<1)?

Explanation opens after your attempt
Correct Answer

A. ऊपरAbove

Step 1

Concept

In this interval the first factor is positive and the second is negative, so the outside negative makes the value positive. Tip: check each factor's sign separately.

Step 2

Why this answer is correct

The correct answer is A. ऊपर / Above. In this interval the first factor is positive and the second is negative, so the outside negative makes the value positive. Tip: check each factor's sign separately.

Step 3

Exam Tip

इस अंतराल में पहला कारक धनात्मक और दूसरा ऋणात्मक है इसलिए बाहर का ऋण चिन्ह मान को धनात्मक बनाता है। टिप: हर कारक का चिह्न अलग जांचें।

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Question 4/4 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=-(x+2)(x-6)) है, तो (-2<x<6) में ग्राफ (x)-अक्ष के किस ओर होगा?

If (p(x)=-(x+2)(x-6)), on which side of the (x)-axis will the graph lie for (-2<x<6)?

Explanation opens after your attempt
Correct Answer

A. ऊपरAbove

Step 1

Concept

In this interval the first factor is positive and the second is negative, and the outside negative makes the value positive. Tip: check each factor's sign separately.

Step 2

Why this answer is correct

The correct answer is A. ऊपर / Above. In this interval the first factor is positive and the second is negative, and the outside negative makes the value positive. Tip: check each factor's sign separately.

Step 3

Exam Tip

इस अंतराल में पहला कारक धनात्मक और दूसरा ऋणात्मक है, बाहर का ऋण चिन्ह मान को धनात्मक करता है। टिप: हर कारक का चिह्न अलग देखें।

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