Question

factor $-90x^{5}z + 36xy^{2} - 99xz + 99$.
a. $x(-90x^{4}z + 36y^{2} - 99z + 99/x)$
b. $-10x^{5}z + 4xy^{2} - 99xz + 99$
c. $-90x^{5}z + 36xy^{2} - 99xz + 99$
d. $9(-10x^{5}z + 4xy^{2} - 11xz + 11)$

Explanation:

Step1: Identify GCF of terms

Find GCF of $-90, 36, -99, 99$: $9$

Step2: Factor out GCF from each term

$\frac{-90x^5z}{9}+\frac{36xy^2}{9}-\frac{99xz}{9}+\frac{99}{9}$

Step3: Simplify each term

$-10x^5z + 4xy^2 - 11xz + 11$

Step4: Write factored form

$9(-10x^{5}z + 4xy^{2} - 11xz + 11)$

Answer:

d. $9(-10x^{5}z + 4xy^{2} - 11xz + 11)$