Factor the trinomial. Factor out the GCF first. $$2 x ^ { 2 } + 8 x - 64$$
A) $( x + 8 ) ( x - 4 )$
B) $2 ( x + 11 ) ( x - 4 )$
C) $2 ( x + 8 ) ( x - 4 )$
D) $( x + 7 ) ( x - 4 )$
E) $2 x ( x - 8 ) ( x - 7 )$

Question

Quizplus · Accepted Answer

The greatest common factor of the trinomial is 2. Factoring it out, we get $$2(x^2+4x-32)$$ We can then factor the quadratic expression within the parentheses by finding two numbers whose product is -32 and sum is 4. These numbers are 8 and -4. Thus, the factored form of the trinomial is $$2(x+8)(x-4)$$ which corresponds to choice C.

Factor the Trinomial 2x2+8x−642 x ^ { 2 } + 8 x - 642x2+8x−64

Factor the Trinomial $2 x ^ { 2 } + 8 x - 64$