Question

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

Explanation:

Step1: Identify greatest common factor

Find GCF of coefficients: $\gcd(90,36,99,99)=9$

Step2: Factor out the GCF

Divide each term by 9:
$\frac{-90x^5z}{9}=-10x^5z$, $\frac{36xy^2}{9}=4xy^2$, $\frac{-99xz}{9}=-11xz$, $\frac{99}{9}=11$

Step3: Write factored form

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

Answer:

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