Factor.
-$10 z ^ { 3 } + 11 z ^ { 2 } - 6 z$
A) $z ( 10 z + 1 ) ( z - 6 )$
B) $( 2 z - 3 ) ( 5 z + 2 )$
C) $z ( 2 z + 3 ) ( 5 z - 2 )$
D) $\left( z ^ { 2 } - 2 \right) ( 10 z + 3 )$

Question

Quizplus · Accepted Answer

The first step in factoring is to look for the greatest common factor, which is  z. Then, we can use the grouping method by factoring out a 2z from the first two terms and a -3 from the last two terms. This gives us: 
$$z(10z + 11z -6) = z(2z+3)(5z-2).$$
Therefore, the correct answer is choice C.

Factor - 10z3+11z2−6z10 z ^ { 3 } + 11 z ^ { 2 } - 6 z10z3+11z2−6z

Factor
- $10 z ^ { 3 } + 11 z ^ { 2 } - 6 z$