Question

factor $-2p^{3}+2p^{2}$.
a. $-2p(p^{2}-p)$
b. $p(-2p^{2}+2)$
c. $p^{2}(2-2p)$
d. $2p^{2}(-p+1)$

Explanation:

Step1: Identify greatest common factor

The terms are $-2p^3$ and $2p^2$. The greatest common factor is $2p^2$.

Step2: Factor out the GCF

Divide each term by $2p^2$:
$\frac{-2p^3}{2p^2} = -p$, $\frac{2p^2}{2p^2} = 1$
Write as factored form: $2p^2(-p + 1)$

Answer:

d. $2p^2(-p + 1)$