Factor.
-$15 z ^ { 2 } - 14 z y - 8 y ^ { 2 }$
A) $( 3 z - 4 y ) ( 5 z + 2 y )$
B) $( 3 z + 4 y ) ( 5 z - 2 y )$
C) $( 15 z + y ) ( z - 8 y )$
D) $( 15 z - 4 y ) ( z + 2 y )$

Question

Quizplus · Accepted Answer

The correct factorization is found by looking for two numbers that multiply to $15 \times -8 = -120$ and add to $-14$. These numbers are $-20$ and $6$. Rewriting $-14zy$ as $-20zy + 6zy$ and factoring by grouping gives $(3z - 4y)(5z + 2y)$.

Factor - 15z2−14zy−8y215 z ^ { 2 } - 14 z y - 8 y ^ { 2 }15z2−14zy−8y2

Factor
- $15 z ^ { 2 } - 14 z y - 8 y ^ { 2 }$