**MCQs Questions for Class 10 Maths Chapter 2 Polynomials**

In this 21^{st} 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 x^{2} + 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 x^{2} +
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 x^{2} + (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 x^{3} + 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) (x^{2} – x – x^{4} +
1) is:

(A) 2

(B) 3

(C) 4

(D) 5

**Answer:
D**

**11.**
The zeroes of the quadratic polynomial x^{2} + 99x + 127 are

(A) both positive

(B) both negative

(C) one positive and one negative

(D) both equal

**Answer:
B**

**12.**
If Î± and Î² are the zeroes of the polynomial x² – 16, then Î±Î²(Î± + Î²) 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 ax^{3} + bx^{2} +
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)x^{2} + 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 x^{3} + 4x^{2} – 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 Î±
and Î² are zeroes of x^{2} – 4x + 1, then 1/Î± + 1/Î² – Î±Î² is

(A) 3

(B) 5

(C) –5

(D) –3

**Answer:
A**

**23.**
If x^{3} + 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**