Question

factor the algebraic expression.
21z + 33z^2 = 3·_·z + 3·_·z·___
= 3_(7 + 11_)

enter the missing values below.
21z + 33z^2 = 3·7·z + 3·11·z·z
= 3□(7 + 11□)

Explanation:

Step1: Analyze the coefficients

We know that $21 = 3\times7$ and $33=3\times11$. So $21z+33z^{2}=3\times7\times z + 3\times11\times z\times z$.

Step2: Factor out the common factor

The common factor of $21z$ and $33z^{2}$ is $3z$. So $21z + 33z^{2}=3z(7 + 11z)$.

Answer:

$21z + 33z^{2}=3\times7\times z+3\times11\times z\times z = 3z(7 + 11z)$
The missing values in order are: $z$; $z$.