## Algebra 2 Common Core

$f(x)=x^3+9x^2+15x-25$
RECALL: If $a$ is a zero of a polynomial, then $x−a$ is a factor of the polynomial. Thus, having $x=-5, -5, 1$ as zeros of the polynomial function means that $x+5,x+5$, and $x-1$ are factors of the polynomial. Therefore the function is $f(x)=(x+5)(x+5)(x-1) \\f(x)=x^3+9x^2+15x-25.$