Question

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

A. x² – 9

B. x² + 9

C. x² + 3

D. x² – 3

Answer 1

Given,

One of the polynomial is 3,

Sum of the zeros = 0

Now

Let the other zero be x,

x + 3 = 0

x = – 3

So,

Zeros of the polynomial are 3 and – 3

Product of the zeros = 3 × – 3 = – 9

Polynomial with zeros 3 and – 3

= x² – (0)x + ( – 9)

= x² – 9