CBSE Class 10 Maths Standard Polynomials Competency Based Questions

Chapter-wise competency based questions for Polynomials. Select a topic and open the answer only after your first attempt.

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CBQs Important Questions PYQs

ChapterTopic

Question 1MCQ · Apply · 1 mark

Polynomials · Zeroes of Polynomial

What are the zeros of $3 x^{2} - 10 x - 8$ ?

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Question 2MCQ · Apply · 1 mark

Polynomials · Zeroes of Polynomial

What constant should be subtracted from $x^{2} - 7 x + 18$ so that $3$ becomes a zero?

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Question 3MCQ · Understand · 1 mark

Polynomials · Zeroes of Polynomial

How many nonzero quadratic polynomials have zeros $2$ and $- 5$ ?

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Question 4MCQ · Analyse · 1 mark

Polynomials · Zeroes of Polynomial

Which expression has the greatest degree?

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Question 5MCQ · Apply · 1 mark

Polynomials · Zeroes of Polynomial

What constant should be added to $x^{2} - 4 x + 1$ so that $3$ is a zero?

(A) $1$ (B) $2$ (C) $3$ (D) $4$

Open answer and solution

Answer

(B) $2$

Solution

At $x = 3$ , the value is $9 - 12 + 1 = - 2$ . Adding $2$ makes it zero.

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Question 6MCQ · Understand · 1 mark

Polynomials · Zeroes of Polynomial

The sum of zeros of $x^{2} - 16$ is: (A) $- 4$ (B) $0$ (C) $4$ (D) $16$

Open answer and solution

Answer

(B) $0$

Solution

The zeros are $4$ and $- 4$ , whose sum is $0$ .

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Question 7MCQ · Apply · 1 mark

Polynomials · Relationship Between Zeroes and Coefficients

$x^{2} + (a + b) x + b$ has zeros $2$ and $- 5$ . Find $(a, b)$ .

(A) $(13, - 10)$ (B) $(- 13, 10)$ (C) $(3, - 10)$ (D) $(13, 10)$

Open answer and solution

Answer

(A) $(13, - 10)$

Solution

The sum is $- 3$ , so $a + b = 3$ . The product is $- 10$ , so $b = - 10$ , giving $a = 13$ .

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Question 8MCQ · Apply · 1 mark

Polynomials · Zeroes of Polynomial

If $3$ is a zero of $x^{2} - 4 x + k$ , what is $k$ ? (A) $- 3$ (B) $0$ (C) $3$ (D) $12$

Open answer and solution

Answer

Solution

Substitute $x = 3$ : $9 - 12 + k = 0$ , hence $k = 3$ .

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Question 9MCQ · Apply · 1 mark

Polynomials · Zeroes of Polynomial

Zeros of $2 x^{2} - 7 x + 3$ are: (A) $3, 1/2$ (B) $- 3, - 1/2$ (C) $2, 3$ (D) $1, 3/2$

Open answer and solution

Answer

(A) $3, 1/2$

Solution

$(2 x - 1) (x - 3) = 0$ , giving $x = 1/2, 3$ .

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Question 10MCQ · Apply · 1 mark

Polynomials · Zeroes of Polynomial

Find zeros of $(x - 4) (x + 2)$ . (A) $- 4, 2$ (B) $4, - 2$ (C) $4, 2$ (D) $- 4, - 2$

Open answer and solution

Answer

(B) $4, - 2$

Solution

Set each factor to zero: $x = 4$ and $x = - 2$ .

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CBSE Class 10 Maths Standard Polynomials Competency Based Questions

Chapter-wise competency based questions for Polynomials. Select a topic and open the answer only after your first attempt.

ChapterTopic

CBSE Class 10 Maths Standard Polynomials Competency Based Questions

What are the zeros of 3x2−10x−8?

What constant should be subtracted from x2−7x+18 so that 3 becomes a zero?

How many nonzero quadratic polynomials have zeros 2 and −5?

Which expression has the greatest degree?

What constant should be added to x2−4x+1 so that 3 is a zero?(A) 1 (B) 2 (C) 3 (D) 4

The sum of zeros of x2−16 is: (A) −4 (B) 0 (C) 4 (D) 16

x2+(a+b)x+b has zeros 2 and −5. Find (a,b).(A) (13,−10) (B) (−13,10) (C) (3,−10) (D) (13,10)

If 3 is a zero of x2−4x+k, what is k? (A) −3 (B) 0 (C) 3 (D) 12

Zeros of 2x2−7x+3 are: (A) 3,1/2 (B) −3,−1/2 (C) 2,3 (D) 1,3/2

Find zeros of (x−4)(x+2). (A) −4,2 (B) 4,−2 (C) 4,2 (D) −4,−2

CBSE Class 10 Maths Standard Polynomials Competency Based Questions

What are the zeros of 3x2−10x−8?

What constant should be subtracted from x2−7x+18 so that 3 becomes a zero?

How many nonzero quadratic polynomials have zeros 2 and −5?

Which expression has the greatest degree?

What constant should be added to x2−4x+1 so that 3 is a zero?(A) 1 (B) 2 (C) 3 (D) 4

The sum of zeros of x2−16 is: (A) −4 (B) 0 (C) 4 (D) 16

x2+(a+b)x+b has zeros 2 and −5. Find (a,b).(A) (13,−10) (B) (−13,10) (C) (3,−10) (D) (13,10)

If 3 is a zero of x2−4x+k, what is k? (A) −3 (B) 0 (C) 3 (D) 12

Zeros of 2x2−7x+3 are: (A) 3,1/2 (B) −3,−1/2 (C) 2,3 (D) 1,3/2

Find zeros of (x−4)(x+2). (A) −4,2 (B) 4,−2 (C) 4,2 (D) −4,−2

What are the zeros of $3 x^{2} - 10 x - 8$ ?

What constant should be subtracted from $x^{2} - 7 x + 18$ so that $3$ becomes a zero?

How many nonzero quadratic polynomials have zeros $2$ and $- 5$ ?

What constant should be added to $x^{2} - 4 x + 1$ so that $3$ is a zero?

(A) $1$ (B) $2$ (C) $3$ (D) $4$

The sum of zeros of $x^{2} - 16$ is: (A) $- 4$ (B) $0$ (C) $4$ (D) $16$

$x^{2} + (a + b) x + b$ has zeros $2$ and $- 5$ . Find $(a, b)$ .

(A) $(13, - 10)$ (B) $(- 13, 10)$ (C) $(3, - 10)$ (D) $(13, 10)$

If $3$ is a zero of $x^{2} - 4 x + k$ , what is $k$ ? (A) $- 3$ (B) $0$ (C) $3$ (D) $12$

Zeros of $2 x^{2} - 7 x + 3$ are: (A) $3, 1/2$ (B) $- 3, - 1/2$ (C) $2, 3$ (D) $1, 3/2$

Find zeros of $(x - 4) (x + 2)$ . (A) $- 4, 2$ (B) $4, - 2$ (C) $4, 2$ (D) $- 4, - 2$

What are the zeros of $3 x^{2} - 10 x - 8$ ?

What constant should be subtracted from $x^{2} - 7 x + 18$ so that $3$ becomes a zero?

How many nonzero quadratic polynomials have zeros $2$ and $- 5$ ?

What constant should be added to $x^{2} - 4 x + 1$ so that $3$ is a zero?

(A) $1$ (B) $2$ (C) $3$ (D) $4$

The sum of zeros of $x^{2} - 16$ is: (A) $- 4$ (B) $0$ (C) $4$ (D) $16$

$x^{2} + (a + b) x + b$ has zeros $2$ and $- 5$ . Find $(a, b)$ .

(A) $(13, - 10)$ (B) $(- 13, 10)$ (C) $(3, - 10)$ (D) $(13, 10)$

If $3$ is a zero of $x^{2} - 4 x + k$ , what is $k$ ? (A) $- 3$ (B) $0$ (C) $3$ (D) $12$

Zeros of $2 x^{2} - 7 x + 3$ are: (A) $3, 1/2$ (B) $- 3, - 1/2$ (C) $2, 3$ (D) $1, 3/2$

Find zeros of $(x - 4) (x + 2)$ . (A) $- 4, 2$ (B) $4, - 2$ (C) $4, 2$ (D) $- 4, - 2$