Question

Given a polynomial f(x), if (x + 7) is a factor, what else must be true?

f(0)=7

f(0)=-7

f(7)=0

f(-7)=0

Answer 1

f(-7)=0

Because that makes the (x+7) factor equal zero and any other factor multiplied by zero also results in zero.

Answer 2

f(-7)=0 that is option 4th is correct.

Explanation:

If we have given any polynomial then its factor means that value is giving zero of that polynomial

And opposite sign of factor is the zero of the polynomial

For example:

x+a is factor of any polynomial f(x) then f(-a)=0

Similarly, If x+7 is a factor of any polynomial then f(-7)=0

Hence, option 4th is correct.