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symbolic factorization MCQ Questions for Class 10

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Practice Questions

10 questions tagged with symbolic factorization.

Question 1/10 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

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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Question 2/10 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

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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Question 3/10 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

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

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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Question 5/10 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

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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Question 6/10 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

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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Question 7/10 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

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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Question 8/10 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

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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Question 9/10 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

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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Question 10/10 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

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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