A Quadratic Polynomial, the Sum of Whose Zeroes is 0 and One Zero is 3, is - Mathematics

MCQ

A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is

• x2 − 9

• x2 + 9

• x2 + 3

• x2 − 3

Solution

Since alpha  and beta are the zeros of the quadratic polynomials such that

0 = alpha + beta

If one of zero is 3 then

alpha + beta =0

3 + beta = 0

beta = 0 -3

beta =-3

Substituting beta =-3 in  alpha + beta =0 we get

alpha -3 =0

alpha =3

Let S and P denote the sum and product of the zeros of the polynomial respectively then

S = alpha+ beta

S = 0

P = alphabeta

P = 3xx-3

 P = -9

Hence, the required polynomials is

= (x^2 - Sx + p)

= (x ^2 - 0x- 9)

= x^2 - 9

Hence, the correct choice is  (a).

Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 26 | Page 64