Question

factor $-2v^4 - 8v^3$.
a. $-v^3(2v + 8)$
b. $-2v^4 - 8v^3$
c. $-2v^3(v + 4)$
d. $2v^3(v - 4)$

Explanation:

Step1: Identify greatest common factor

The terms are $-2v^4$ and $-8v^3$. The GCF of coefficients $-2$ and $-8$ is $-2$. The GCF of $v^4$ and $v^3$ is $v^3$. Combined GCF: $-2v^3$.

Step2: Factor out the GCF

Divide each term by $-2v^3$:
$\frac{-2v^4}{-2v^3}=v$, $\frac{-8v^3}{-2v^3}=4$
Expression: $-2v^3(v + 4)$

Answer:

c. $-2v^{3}(v + 4)$