Factor the four-term polynomial by grouping.
-$2 x + 16 + x y + 8 y$
A) $( x + 8 y ) ( 2 + y )$
B) $( x + 8 ) ( 2 + y )$
C) $( y + 8 ) ( x + 2 )$
D) $( y + 8 ) ( 2 x + y )$

Question

Quizplus · Accepted Answer

The polynomial can be grouped as $(2x + xy) + (16 + 8y)$. Factoring each group gives $x(2 + y) + 8(2 + y)$. Factoring out the common factor $(2 + y)$ results in $(x + 8)(2 + y)$.

Factor the Four-Term Polynomial by Grouping 2x+16+xy+8y2 x + 16 + x y + 8 y2x+16+xy+8y

Factor the Four-Term Polynomial by Grouping $2 x + 16 + x y + 8 y$