Here is the list of multiple-choice questions (MCQ) from Chapter 2 Polynomials of Mathematics NCERT for the board exam 2025 for a good recap.
Question 1
How many polynomials can there be with zeros 7 and -3:
A) 3
B) 1
C) 2
D) infinite
Answer
(D)
Question 2
The number of polynomials with zeros 5 and -2:
A) 1
B) 2
C) 3
D) infinite
Answer
(D)
Question 3
The maximum number of zeros/ roots of a quadratic polynomial can be:
A) 0
B) 1
C) 2
D) 3
Answer
(C)
Question 4
The maximum number of zeros/ roots of a cubic polynomial can be:
A) 0
B) 1
C) 2
D) 3
Answer
(D)
Question 5
The sum of zeros of the polynomial \(3x^{2}+x-2\) is:
A) \(-\frac{2}{3}\)
B) \(-\frac{1}{3}\)
C) \(\frac{1}{3}\)
D) \(-\frac{1}{5}\)
Answer
(B)
Question 6
The product of zeros of the polynomial \(x^{2}+5x+6\) is:
A) -6
B) -5
C) 6
D) 5
Answer
(C)
Question 7
A quadratic polynomial with its zeros -3 and 4 will be:
A) \( x^{2}+x-12\)
B) \( x^{2}-x-12\)
C) \( x^{2}+x+12\)
D) none of these
Answer
(B)
Question 8
What will be the value of \(\frac{1}{\alpha}+\frac{1}{\beta}\), If \(\alpha \) and \(\beta \) are the zeros of the polynomial \(x^{2}+x+1\):
A) -1
B) 0
C) 1
D) none
Answer
(A)
Question 9
Which of the following will be the polynomial having roots as 1,1:
A) \( x^{2}-2x+1\)
B) \( x^{2}+2x-1\)
C) \( x^{2}+x-2\)
D) \( x^{2}+2x-2\)
Answer
(A)
Question 10
Find the value of \(\frac{1}{\alpha}+\frac{1}{\beta}\), If \(\alpha \) and \(\beta \) are the zeros of the polynomial \( 4x^{2}+3x+5\):
A) \(\frac{3}{4}\)
B) \(-\frac{5}{3}\)
C) \(-\frac{3}{5}\)
D) none of the above
Answer
(C)
Question 11
The zeros of the polynomial \(x^{2}-2x-3\) are:
A) 3, 1
B) -3, 1
C) -3, -1
D) 3, -1
Answer
(D)
Question 12
Find the value of ‘k‘ for which the polynomial \(3x^{2}-10x-k\) has reciprocal roots:
A) 3
B) 10
C) 5
D) -7
Answer
(A)
Question 13
Find the value of ‘k‘, if 2 is one of the zeros of the polynomial \(x^{2}+kx-5\) :
A) \(\frac{1}{3}\)
B) \(\frac{2}{3}\)
C) \(\frac{1}{2}\)
D) \(\frac{3}{2}\)
Answer
(C)
Question 14
The sum of the zeros of the polynomial \(x^{2}-9\) :
A) 0
B) 1
C) 2
D) 3
Answer
(A)
Question 15
The product of the zeros of the polynomial \(-x^{2}+x-1\):
A) 0
B) 1
C) 2
D) none of the above
Answer
(B)
