Factor the expression. $2 y ^ { 2 } x + x y + 5 y + 10 y ^ { 2 }$
A) $x y ( 2 y - 1 ) ( x + 5 )$
B) $y ^ { 2 } ( y + 1 ) ( 5 x + 5 )$
C) $y ( 2 y + 1 ) ( x + 5 )$
D) $y ( y + 2 ) ( 5 x + 1 )$
E) $( y + 1 ) ^ { 2 } ( x + 5 )$

Question

Quizplus · Accepted Answer

We can factor out a common factor of y from the expression to get $y(2y x+x+5+10y)$. Then we can further factor the expression inside the parentheses by grouping to get $y(2yx+2y+5x+5)$. Finally, we can factor out a common factor of 2y+1 from the first two terms and a common factor of 5 from the last two terms to get the final answer of $y(2y+1)(x+5)$. Therefore, the best choice is option C.

Factor the Expression 2y2x+xy+5y+10y22 y ^ { 2 } x + x y + 5 y + 10 y ^ { 2 }2y2x+xy+5y+10y2

Factor the Expression $2 y ^ { 2 } x + x y + 5 y + 10 y ^ { 2 }$