Class 9th MCQ Test for Chapter 2
Class 9th Maths Chapter 1st MCQ
Questions Answer of class 9th Maths Chapter 2nd CBSE
Question 1. If x – 3 is a factor of x2 + ax + 6, then a =
(a) 5
(b) -5
(c) 1
(d) -1
Ans a
Explanation :
x2 + ax + 6 = 0
x-3 =0
x=3
Replace x with 3
x2 + ax + 6 = 0
(3)2 + 3a + 6 = 0
9 + 3a + 6 = 0
15 + 3a = 0
3a = 15
a = 5
Question 2. If x3 + 6x2 + 11x + 6 is exactly divisible by x + 1, then k =
(a) 6
(b) 2
(c) 3
(d) 11
Solution:
f(x) = x3 + 6x2 + 11x + k is divisible by x + 1
∴ Remainder = 0
Let x + 1 = 0, then x = -1
∴ f(-1) = (-1)3 + 6(-1)2 + 11(-1) + k
= -1 + 6 - 11 + k
= -6 + k
∴ x + 1 is a factor
∴ Remainder = 0 .
⇒ -6 + k= 0 ⇒ k = 6
k = 6
Question 3. If x3 -19x + K is exactly divisible by x + 5, then k =
(a) 6 0
(b) 20
(c) 30
(d) 15
Answer c
Explanation:
x-5 = 0
x = 5
Replace x with 5
x3 -19x + K = 0
(-5)3 – 19(-5) + k = 0
-125 + 95 + k = 0
-30 + k = 0
K = 30
Question 4 If x + 4 is a factor of x2 + mx + 20, then m =
a) 5
(b) 4
(c) 9
(d) 10
Solution: c
x + 4 is a factor of(x) = x2 + mx + 20
Let x + 4 = 0, then x = -4
f(-4) = (-4)2 + m(-4) + 20
= 16 – 4m + 20 = 36 – 4m
∴ x + 4 is a factor of f(x)
∴ Remainder = 0
⇒ 36 – 4m = 0
-4m = -36
4m = 36
M = 9
Question 5 The value of f(x) = 5x−4x2+3 when x = -2, is:
- 3
- -12
- -6
- 6
Answer: c
Explanation: When x= -2
f(x)=5x−4x2+3
f(−1) = 5(−2) −4(−2)2 + 3
= −10 – 16 + 3
= −6
Best questions for class 9th Maths
Question 6 The value of p(t) = 2+t+2t2−t3 when t = 1 is
- 7
- 3
- 4
- 9
Answer: c
Explanation:
p(1)= 2 + 1 + 2(1)2 – (1)3
= 2 + 1 + 2 – 1
= 4
Question 7 The zero of the polynomial f(x) = 4x+3 is
a. 2/7
b. -3/4
c. 4x/3
d. -4/3
Answer: d
Explanation: f(x) = 4x + 3
⇒4x + 3 = 0
⇒4x = −3
⇒x = −3/4
∴x = −3/4 is a zero polynomial of the polynomial f(x)
Question 8 What is the degree of the polynomial √5?
a. 0
b. 1
c. 1/2
d. 2
Answer: a
Explanation: The polynomial √5 can also be written as √5(x0).
Hence, the degree of the polynomial √5 is 0.
Question 9 The coefficient of x in 4x2+8x-2 is
. 8
b. 4
c. -2
d. o
Answer: a
Explanation: The coefficient of x in 4x2+8x-2 is 8. Because the number multiplied by x by 8
Question 10 One of the linear factors of x2+8x+16 is
a. (x+1)
b. (x-2)
c. (x+2)
d. (x-4)
Answer: a
Explanation:
x2+8x+16
x2+ 4x+4x+16
x(x+4)+4(x+4)
(3x+5)(x+1)
Therefore, (x+1) is one of the factors of 3x2+8x+5.