PSEB 9th Class Maths MCQ Chapter 2 Polynomials

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) = x³ + x² – 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. (x² – 2)
D. (x² + 2)
Answer:
A. (x – 2)

Question 3.
Dividing 2x³ + 6x² + 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 x³ + 3x² + 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 x³ – 5x² + 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 x³ – 6x² + 2x – 12.
A. 2
B. – 2
C. 6
D. – 6
Answer:
C. 6

Question 7.
If x + 3 is a factor of x³ + 6x² + 11x + k, then k = ……………….. .
A. 2
B. 3
C. 4
D. 6
Answer:
D. 6

Question 8.
………………….. should be added to x² – 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 4x³ + 3x² – 4x + k, then k = ………… .
A. 4
B. 1
C. 3
D. – 3
Answer:
D. – 3

Question 10
………………. is one of the factors of 2x⁴ + x³ – 14x² – 19x – 6.
A. (x – 1)
B. (x + 1)
C. (x + 3)
D. (x – 2)
Answer:
B. (x + 1)

Question 11.
When x³ + 64 is divided by x + 4, the quotient is ………………. .
A. (x – 4)
B. (x + 8)
C. (x + 16)
D. x² – 4x + 16
Answer:
D. x² – 4x + 16

Question 12.
x³ + 3x² + 3x + 2 = (x + 2) (……………..)
A. x – 2
B. x² + 1
C. x² – x – 1
D. x² + x + 1
Answer:
D. x² + x + 1

Question 13.
The factors of x² – 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 x² – 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.
x² – 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 x² + 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 x³ + 2x² – ax – 18, then a = …………………. .
A. 3
B. – 3
C. 9
D. – 9
Answer:
C. 9