Concept-wise Practice

symbolic factorization MCQ Questions for Class 10

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

Practice Questions

10 questions tagged with symbolic factorization.

यदि (p(x)=x-2-hx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-hx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((h,0))((0,0)) and ((h,0))

Step 1

Concept

(x-2-hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((h,0)) / ((0,0)) and ((h,0)). (x-2-hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-hx=x(x-h)) है, इसलिए शून्यक (0) और (h) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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यदि (p(x)=x-2-(2n+3)x+n(n+3)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(2n+3)x+n(n+3)), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((n,0)) और ((n+3,0))((n,0)) and ((n+3,0))

Step 1

Concept

The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((n,0)) और ((n+3,0)) / ((n,0)) and ((n+3,0)). The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).

Step 3

Exam Tip

बहुपद ((x-n)(x-(n+3))) है इसलिए शून्यक (n) और (n+3) हैं। टिप: शून्यकों को ((x,0)) में लिखें।

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यदि (p(x)=x-2-ex) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-ex), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((e,0))((0,0)) and ((e,0))

Step 1

Concept

(x-2-ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((e,0)) / ((0,0)) and ((e,0)). (x-2-ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-ex=x(x-e)) है, इसलिए शून्यक (0) और (e) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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यदि (p(x)=x-2-(2m-1)x+m(m-1)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(2m-1)x+m(m-1)), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((m,0)) और ((m-1,0))((m,0)) and ((m-1,0))

Step 1

Concept

The polynomial is ((x-m)(x-(m-1))), so the zeroes are (m) and (m-1). Tip: write zeroes as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((m,0)) और ((m-1,0)) / ((m,0)) and ((m-1,0)). The polynomial is ((x-m)(x-(m-1))), so the zeroes are (m) and (m-1). Tip: write zeroes as ((x,0)).

Step 3

Exam Tip

बहुपद ((x-m)(x-(m-1))) है, इसलिए शून्यक (m) और (m-1) हैं। टिप: शून्यकों को ((x,0)) में लिखें।

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यदि (p(x)=x-2-cx) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-cx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((c,0))((0,0)) and ((c,0))

Step 1

Concept

(x-2-cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((c,0)) / ((0,0)) and ((c,0)). (x-2-cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-cx=x(x-c)) है इसलिए शून्यक (0) और (c) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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यदि (p(x)=x-2-(u+v)x+uv) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(u+v)x+uv), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((u,0)) और ((v,0))((u,0)) and ((v,0))

Step 1

Concept

It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((u,0)) और ((v,0)) / ((u,0)) and ((v,0)). It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).

Step 3

Exam Tip

यह ((x-u)(x-v)) है इसलिए शून्यक (u) और (v) हैं। टिप: शून्यक को ((x,0)) बिंदु के रूप में लिखें।

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यदि (p(x)=x-2-bx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-bx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((b,0))((0,0)) and ((b,0))

Step 1

Concept

(x-2-bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((b,0)) / ((0,0)) and ((b,0)). (x-2-bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-bx=x(x-b)) है, इसलिए शून्यक (0) और (b) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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यदि (p(x)=x-2-(m+n)x+mn) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(m+n)x+mn), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((m,0)) और ((n,0))((m,0)) and ((n,0))

Step 1

Concept

It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((m,0)) और ((n,0)) / ((m,0)) and ((n,0)). It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).

Step 3

Exam Tip

यह ((x-m)(x-n)) है इसलिए शून्यक (m) और (n) हैं। टिप: शून्यक को ((x,0)) में लिखें।

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यदि (p(x)=x-2-ax) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-ax), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((a,0))((0,0)) and ((a,0))

Step 1

Concept

(x-2-ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((a,0)) / ((0,0)) and ((a,0)). (x-2-ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-ax=x(x-a)), इसलिए शून्यक (0) और (a) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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यदि (p(x)=x-2-(a+b)x+ab) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(a+b)x+ab), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((a,0)) और ((b,0))((a,0)) and ((b,0))

Step 1

Concept

The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.

Step 2

Why this answer is correct

The correct answer is A. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0)). The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.

Step 3

Exam Tip

बहुपद ((x-a)(x-b)) के बराबर है, इसलिए शून्यक (a) और (b) हैं। टिप: गुणनखंड रूप को ग्राफ कटान से जोड़ें।

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