Question

which of these is a factor in this expression?
$5z^{4}-3 + 8\left(y^{3}+7\
ight)$
a. $5z^{4}-3$
b. $8\left(y^{3}+7\
ight)$
c. $-3 + 8\left(y^{3}+7\
ight)$
d. $\left(y^{3}+7\
ight)$

Explanation:

Step1: Define a factor

A factor is a term or expression that is multiplied by another to form the overall expression.

Step2: Analyze the given expression

The expression is $5z^4 - 3 + 8(y^3 + 7)$. Here, $8$ is multiplied by $(y^3 + 7)$, so $(y^3 + 7)$ is a factor of the term $8(y^3 + 7)$, and thus a factor of the entire expression.

Step3: Eliminate other options

Options A, B, and C are sums/differences of terms in the expression, not multiplicative factors.

Answer:

D. $(y^3 + 7)$