Question

Given a polynomial f(x), if (x + 2) is a factor, what else must be true?

Оа
f(0) = 2
Ob
f(0) = -2
Oc
f(2)= 0
Od
f(-2) = 0

Answer 1

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

`c=-2`

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

`f(-2)=0`

Therefore, the correct option is d.