Question

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

enter the missing values below.
21z + 33z^2 = 3•□•z + 3•□•z•□

Explanation:

Step1: Factor out common factors of coefficients

First, find the greatest - common factor of 21 and 33. The GCF of 21 and 33 is 3. We can rewrite 21z as $3\times7\times z$ and $33z^{2}$ as $3\times11\times z\times z$.

Step2: Factor the expression

$21z + 33z^{2}=3\times7\times z+3\times11\times z\times z = 3z(7 + 11z)$.

Answer:

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