MCQs Questions for Class 10 Maths Chapter 2 Polynomials
In this 21st century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.
In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.
In this post, you will find 23 MCQs questions for class 10 maths chapter 2 polynomials.
MCQs Questions for Class 10 Maths Chapter 2 Polynomials
1. The
zeroes of the quadratic polynomial x2 + 99x + 127 are
(A) both
positive
(B) both
negative
(C) one
positive and one negative
(D) both equal
Answer: B
2. If one zero of the quadratic polynomial x² + 3x + k is 2,
then the value of k is
(A) 10
(B) -10
(C) 5
(D) -5
Answer: B
3.
The maximum number of zeroes that a polynomial of degree 4 can have is
(A) one
(B) two
(C) three
(D) four
Answer: D
4. If the zeroes of the quadratic polynomial x2 +
bx + c, c ≠ 0 are equal, then
(A) c and a have opposite signs
(B) c and b have opposite signs
(C) c and a have the same
sign
(D) c and b have the same sign
Answer: C
5.
If the zeroes of the quadratic polynomial x2 + (a + 1)x + b are 2
and -3, then
(A) a = -7, b = -1
(B) a = 5, b = -1
(C) a = 2, b = -6
(D) a – 0, b = -6
Answer: D
6.
The graph of the polynomial ax² + bx + c is an upward parabola if
(A) a > 0
(B) a < 0
(C) a = 0
(D) None
Answer: A
7. The
number of polynomials having zeroes as –2 and 5 is
(A) 1
(B) 2
(C) 3
(D) more than 3
Answer:
D
8.
If one of the zeroes of the cubic polynomial x3 + ax² + bx + c
is -1, then the product of the other two zeroes is
(A) b – a + 1
(B) b – a – 1
(C) a – b + 1
(D) a – b – 1
Answer:
A
9.
A polynomial of degree 3 is called
(A) a linear polynomial
(B) a quadratic polynomial
(C) a cubic polynomial
(D) a biquadratic polynomial
Answer: C
10. The
degree of the polynomial (x + 1) (x2 – x – x4 +
1) is:
(A) 2
(B) 3
(C) 4
(D) 5
Answer:
D
11.
The zeroes of the quadratic polynomial x2 + 99x + 127 are
(A) both positive
(B) both negative
(C) one positive and one negative
(D) both equal
Answer:
B
12.
If α and β are the zeroes of the polynomial x² – 16, then αβ(α + β) is
(A) 0
(B) 4
(C) -4
(D) 16
Answer:
A
13.
If the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x – 5 is 6,
then the value of k is
(A) 2
(B) 4
(C) -2
(D) -4
Answer:
B
14. Given
that one of the zeroes of the cubic polynomial ax3 + bx2 +
cx + d is zero, the product of the other two zeroes is
(A)
–c/a
(B) c/a
(C) 0
(D) 3
Answer:
B
15.
The number of polynomials having zeroes as 4 and 7 is
(A) 2
(B) 3
(C) 4
(D) more than 4
Answer:
B
16.
If a – b, a and a + b are zeroes of the polynomial 2x³ – 6x² + 5x – 7, then the
value of a is
(A) 1
(B) 2
(C) -5
(D) 7
Answer:
A
17. If
one of the zeroes of the quadratic polynomial (k – 1)x2 + kx +
1 is –3, then the value of k is
(A) 4/3
(B) –4/3
(C) 2/3
(D) –2/3
Answer: A
18.
The zeroes of the quadratic polynomial x² – 15x + 50 are
(A) both negative
(B) one positive and one negative
(C) both positive
(D) both equal
Answer: C
19.
What should be subtracted from x³ – 2x² + 4x + 1 to get 1?
(A) x³ – 2x² + 4x
(B) x³ – 2x² + 4 + 1
(C) -1
(D) 1
Answer: A
20. The
value of p for which the polynomial x3 + 4x2 – px
+ 8 is exactly divisible by (x – 2) is:
(A) 0
(B) 3
(C) 5
(D) 16
Answer: D
21.
The zeroes of the quadratic polynomial x² + px + p, p ≠ 0 are
(A) both equal
(B) both cannot be positive
(C) both unequal
(D) both cannot be negative
Answer: B
22. If α
and β are zeroes of x2 – 4x + 1, then 1/α + 1/β – αβ is
(A) 3
(B) 5
(C) –5
(D) –3
Answer:
A
23.
If x3 + 11 is divided by x² – 3, then the possible degree of
remainder is
(A) 0
(B) 1
(C) 2
(D) less than 2
Answer: D