Question

factor $5v^5 + 2v^8$.
a. $v^5(5 + 2v^3)$
b. $v^5(3 + 2v^3)$
c. $v^5(2v^3 + 3)$
d. $v^3(5v^2 + 2v^5)$

Explanation:

Step1: Identify greatest common factor

The terms are $5v^5$ and $2v^8$. The greatest common factor of $5$ and $2$ is $1$, and the greatest common factor of $v^5$ and $v^8$ is $v^5$.

Step2: Factor out the GCF

Factor $v^5$ from each term:
$5v^5 + 2v^8 = v^5(5) + v^5(2v^3) = v^5(5 + 2v^3)$

Answer:

a. $v^5(5 + 2v^3)$