Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
-$a ^ { 3 } b ^ { 2 } + 5 a ^ { 2 } b - 6 a$
A) $a ^ { 5 } ( b - 1 ) ( b + 6 )$
B) $a \left( a ^ { 2 } b ^ { 2 } + 5 a b - 6 \right)$
C)a(ab - 1)(ab + 6)
D)a(ab + 1)(ab - 6)

Question

Quizplus · Accepted Answer

The correct answer is C.a(ab - 1)(ab + 6)The trinomial can be factored by first factoring out the greatest common factor, which is a. Then, the remaining trinomial can be factored by finding two numbers that add up to 5 and multiply to -6. These numbers are -1 and 6, so the trinomial can be factored as a(ab - 1)(ab + 6).

Factor the Trinomial Completely a3b2+5a2b−6aa ^ { 3 } b ^ { 2 } + 5 a ^ { 2 } b - 6 aa3b2+5a2b−6a

Factor the Trinomial Completely $a ^ { 3 } b ^ { 2 } + 5 a ^ { 2 } b - 6 a$