Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 2 Polynomials MCQ Questions with Answers.

## PSEB 9th Class Maths Chapter 2 Polynomials MCQ Questions

Multiple Choice Questions and Answer

Answer each question by selecting the proper alternative from those given below each question to make the statement true:

Question 1.

The value of p(x) = x^{3} + x^{2} – 3x – 3 at x = – 1 is ………….. .

A. 1

B. – 1

C. 0

D. – 3

Answer:

C. 0

Question 2.

For the polynomial p(x), If p(2) = 0. then …………….. is a factor of p(x).

A. (x – 2)

B. (x + 2)

C. (x^{2} – 2)

D. (x^{2} + 2)

Answer:

A. (x – 2)

Question 3.

Dividing 2x^{3} + 6x^{2} + x + 5 by (x + 3), the remainder is ………………. .

A. 2

B. 3

C. 1

D. 0

Answer:

A. 2

Question 4.

……………. should be subtracted from x^{3} + 3x^{2} + 2x + 10, so that the result is exactly divisible by (x + 3).

A. 1

B. 2

C. 3

D. 4

Answer:

D. 4

Question 5.

………………… should be added to x^{3} – 5x^{2} + x – 8, so that the result Is exactly divisible by (x – 5).

A. 2

B. – 2

C. – 3

D. 3

Answer:

D. 3

Question 6.

…………………. is one of the zeros of the polynomial x^{3} – 6x^{2} + 2x – 12.

A. 2

B. – 2

C. 6

D. – 6

Answer:

C. 6

Question 7.

If x + 3 is a factor of x^{3} + 6x^{2} + 11x + k, then k = ……………….. .

A. 2

B. 3

C. 4

D. 6

Answer:

D. 6

Question 8.

………………….. should be added to x^{2} – 8, so that the result is exactly divisible by (x + 3).

A. 1

B. – 1

C. 3

D. – 3

Answer:

B. – 1

Question 9.

If x – 1 is a factor of 4x^{3} + 3x^{2} – 4x + k, then k = ………… .

A. 4

B. 1

C. 3

D. – 3

Answer:

D. – 3

Question 10

………………. is one of the factors of 2x^{4} + x^{3} – 14x^{2} – 19x – 6.

A. (x – 1)

B. (x + 1)

C. (x + 3)

D. (x – 2)

Answer:

B. (x + 1)

Question 11.

When x^{3} + 64 is divided by x + 4, the quotient is ………………. .

A. (x – 4)

B. (x + 8)

C. (x + 16)

D. x^{2} – 4x + 16

Answer:

D. x^{2} – 4x + 16

Question 12.

x^{3} + 3x^{2} + 3x + 2 = (x + 2) (……………..)

A. x – 2

B. x^{2} + 1

C. x^{2} – x – 1

D. x^{2} + x + 1

Answer:

D. x^{2} + x + 1

Question 13.

The factors of x^{2} – x – 12 are .

A.(x + 6) and (x – 2)

B. (x – 4) and (x – 3)

C. (x + 4) and (x + 3)

D. (x – 4) and (x + 3)

Answer:

D. (x – 4) and (x + 3)

Question 14.

The factors of x^{2} – 100 are ………………. .

A. (x – 20) and (x – 5)

B. (x – 25) and (x – 4)

C. (x – 10)^{2}

D. (x + 10) and (x – 10)

Answer:

D. (x + 10) and (x – 10)

Question 15.

x^{2} – 2 + \(\frac{1}{x^{2}}\) = ………………………

A. \(\left(x+\frac{1}{x}\right)\left(x-\frac{1}{x}\right)\)

B. \(\left(x-\frac{1}{x}\right)^{2}\)

C. \(\left(x-\frac{1}{x}\right)^{3}\)

D. \(\left(x+\frac{1}{2}\right)^{2}\)

Answer:

B. \(\left(x-\frac{1}{x}\right)^{2}\)

Question 16.

If x^{2} + mx – 28 = (x – 7) (x + 4), then m = ………………….. .

A. 3

B. – 3

C. 11

D. – 11

Answer:

B. – 3

Question 17.

105 × 95 = ………………. .

A. 9500

B. 10,500

C. 9925

D. 9975

Answer:

D. 9975

Question 18.

(110)^{3} = …………………… .

A. 330

B. 3300

C. 33.000

D. 13,31,000

Answer:

D. 13,31,000

Question 19.

(15)^{3} – (9)^{3} – (6)^{3} = ………………….

A. 1215

B. 2430

C. – 810

D. 810

Answer:

B. 2430

Question 20.

If x + 3 is one of the factors x^{3} + 2x^{2} – ax – 18, then a = …………………. .

A. 3

B. – 3

C. 9

D. – 9

Answer:

C. 9