Factor the trinomial, if possible.
-$2 x ^ { 2 } - 6 x y - 8 y ^ { 2 }$
A) $2 ( x + y ) ( x - 4 y )$
B) $( 2 x - 2 y ) ( x + 4 y )$
C) $( x - y ) ( 2 x + 6 y )$
D) $2 ( x - y ) ( x + 4 y )$

Question

Quizplus · Accepted Answer

The trinomial can be factored by first factoring out the greatest common factor, which is 2, resulting in $2(x^2 - 3xy - 4y^2)$. Then, by finding two numbers that multiply to $2 \times -4y^2 = -8y^2$ and add to $-3y$, which are $y$ and $-4y$, the trinomial inside the parentheses can be factored as $(x + y)(x - 4y)$. Thus, the factored form is $2(x + y)(x - 4y)$.

Factor the Trinomial, If Possible 2x2−6xy−8y22 x ^ { 2 } - 6 x y - 8 y ^ { 2 }2x2−6xy−8y2

Factor the Trinomial, If Possible $2 x ^ { 2 } - 6 x y - 8 y ^ { 2 }$