Factor.
-$12 z^{3}+7 z^{2}-12 z$
A) $z(12 z+1)(z-12)$
B) $\left(z^{2}-3\right)(12 z+4)$
C) $(3 z-4)(4 z+3)$
D) $z(3 z+4)(4 z-3)$

Name: Factor. -$12 z^{3}+7 z^{2}-12 z$ A) $z(12 z+1)(z-12)$ B) $\left(z^{2}-3\right)(12 z+4)$ C) $(3 z-4)(4 z+3)$ D) $z(3 z+4)(4 z-3)$
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Question

Quizplus · Accepted Answer

The correct factorization of $12 z^{3}+7 z^{2}-12 z$ is $z(3 z+4)(4 z-3)$, which matches option D. Factoring out the greatest common factor $z$ first gives $z(12z^2 + 7z - 12)$, and then factoring the quadratic part gives the final answer.

Factor - 12z3+7z2−12z12 z^{3}+7 z^{2}-12 z12z3+7z2−12z A) z(12z+1)(z−12)z(12 z+1)(z-12)z(12z+1)(z−12) B) (z2−3)(12z+4)\left(z^{2}-3\right)(12 z+4)(z2−3)(12z+4) C) (3z−4)(4z+3)(3 z-4)(4 z+3)(3z−4)(4z+3)

Factor
- $12 z^{3}+7 z^{2}-12 z$ A) $z(12 z+1)(z-12)$ B) $\left(z^{2}-3\right)(12 z+4)$ C) $(3 z-4)(4 z+3)$