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
[tex]c=-2[/tex]
It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,
[tex]f(-2)=0[/tex]
Therefore, the correct option is d.
