Factor.
-$36 z^{8}+51 z^{5}+18 z^{2}$
A) $3 z^{2}\left(4 z^{3}+3\right)\left(3 z^{3}+2\right)$
B) $3\left(4 z^{6}+3\right)\left(3 z^{2}+2\right)$
C) $\left(4 z^{4}+4\right)\left(3 z^{4}+2\right)$
D) $3 z^{2}\left(3 z^{3}-2\right)\left(4 z^{3}-3\right)$

Question

Quizplus · Accepted Answer

The greatest common factor among the terms $36z^8$, $51z^5$, and $18z^2$ is $3z^2$, leaving us with $12z^6 + 17z^3 + 6$. Factoring this trinomial further, we find that it can be expressed as the product of two binomials, $4z^3 + 3$ and $3z^3 + 2$, leading to the correct factorization $3z^2(4z^3 + 3)(3z^3 + 2)$.

Factor - 36z8+51z5+18z236 z^{8}+51 z^{5}+18 z^{2}36z8+51z5+18z2 A) 3z2(4z3+3)(3z3+2)3 z^{2}\left(4 z^{3}+3\right)\left(3 z^{3}+2\right)3z2(4z3+3)(3z3+2) B) 3(4z6+3)(3z2+2)3\left(4 z^{6}+3\right)\left(3 z^{2}+2\right)3(4z6+3)(3z2+2)

Factor
- $36 z^{8}+51 z^{5}+18 z^{2}$ A) $3 z^{2}\left(4 z^{3}+3\right)\left(3 z^{3}+2\right)$ B) $3\left(4 z^{6}+3\right)\left(3 z^{2}+2\right)$