Factor.
-$60 z^{8}+93 z^{5}+36 z^{2}$
A) $3\left(4 z^{6}+3\right)\left(5 z^{2}+4\right)$
B) $3 z^{2}\left(5 z^{3}-4\right)\left(4 z^{3}-3\right)$
C) $\left(4 z^{4}+4\right)\left(5 z^{4}+4\right)$
D) $3 z^{2}\left(4 z^{3}+3\right)\left(5 z^{3}+4\right)$

Question

Quizplus · Accepted Answer

Each term in the expression $60 z^{8}+93 z^{5}+36 z^{2}$ has a common factor of $3z^{2}$, and factoring it out simplifies the expression to $3z^{2}(20z^{6}+31z^{3}+12)$, which can be further factored into $3z^{2}(4z^{3}+3)(5z^{3}+4)$, matching option D.

Factor - 60z8+93z5+36z260 z^{8}+93 z^{5}+36 z^{2}60z8+93z5+36z2 A) 3(4z6+3)(5z2+4)3\left(4 z^{6}+3\right)\left(5 z^{2}+4\right)3(4z6+3)(5z2+4) B) 3z2(5z3−4)(4z3−3)3 z^{2}\left(5 z^{3}-4\right)\left(4 z^{3}-3\right)3z2(5z3−4)(4z3−3)

Factor
- $60 z^{8}+93 z^{5}+36 z^{2}$ A) $3\left(4 z^{6}+3\right)\left(5 z^{2}+4\right)$ B) $3 z^{2}\left(5 z^{3}-4\right)\left(4 z^{3}-3\right)$