Factor completely.
-$2 x y ^ { 2 } - 98 x$
A) $2 x ( y + 7 ) ^ { 2 }$
B) $2 x ( y - 7 ) ^ { 2 }$
C) $2 x ( y + 7 ) ( y - 7 )$
D) prime polynomial

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the terms $2xy^2$ and $-98x$ is $2x$. Factoring out $2x$ gives $2x(y^2 - 49)$. Recognizing $y^2 - 49$ as a difference of squares, it can be factored further into $(y + 7)(y - 7)$. Thus, the complete factorization is $2x(y + 7)(y - 7)$.

Factor Completely 2xy2−98x2 x y ^ { 2 } - 98 x2xy2−98x

Factor Completely $2 x y ^ { 2 } - 98 x$