Factor.
-$$3 a ^ { 3 } + 6 a ^ { 2 } - 45 a$$
A) $3 a ( a + 5 ) ( a + 3 )$
B) $3 a ( a - 5 ) ( a + 3 )$
C) $3 a ( a + 5 ) ( a - 3 )$
D) $3 a ( a - 5 ) ( a - 3 )$

Question

Quizplus · Accepted Answer

First, we can factor out a 3a from each term:
$$3 a ( a ^ { 2 } + 2 a - 15 )$$
Then, we can factor the quadratic expression in the parentheses:
$$3 a ( a + 5 ) ( a - 3 )$$
Therefore, the correct answer is C.

Factor - 3a3+6a2−45a3 a ^ { 3 } + 6 a ^ { 2 } - 45 a3a3+6a2−45a

Factor
- $3 a ^ { 3 } + 6 a ^ { 2 } - 45 a$