Question

Is the binomial a factor of the polynomial function? f(x)=x^3+2x^2-16x-32

Answer 1

no

yes

yes

yes

no

Explanation:

just took the test

Answer 2

`f(x)=x^3+2x^2-16x-32=x^2(x+2)-16(x+2)=(x+2)(x^2-16)\\\\=(x+2)(x-4^2)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+2)(x-2)(x+2)\\\\Answer:\\\\\begin{array}c(x-2)&YES&\\(x+2)&YES&\\(x-4)&&NO\\(x+4)&&NO\\(x+6)&&NO\end{array}`