Factor the trinomial.
-$$12 x ^ { 2 } + 54 x - 30$$
A) $6 ( 2 x - 1 ) ( x + 5 )$
B) $( 12 x - 6 ) ( x + 5 )$
C) $6 ( 2 x + 1 ) ( x - 5 )$
D) prime polynomial

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor (GCF) which is 6, giving $6(2x^2 + 9x - 5)$. Then, find two numbers that multiply to $2 \times -5 = -10$ and add to $9$, which are $10$ and $-1$. Use these to factor the trinomial inside the parentheses, resulting in $6(2x^2 + 10x - x - 5)$, which simplifies to $6(2x(x + 5) - 1(x + 5)) = 6(2x - 1)(x + 5)$.

Factor the Trinomial 12x2+54x−3012 x ^ { 2 } + 54 x - 3012x2+54x−30

Factor the Trinomial $12 x ^ { 2 } + 54 x - 30$