Factor the expression completely. $4 r ^ { 2 } - 4 r s - 35 s ^ { 2 }$
A) $\quad ( 7 r - 2 s ) ( 2 r + 5 s )$
B) $\quad ( 2 r - 7 s ) ( 2 r + 5 s )$
C) $\quad ( 2 r + 7 s ) ( 2 r - 5 s )$
D) $\quad ( 2 r - 7 s ) ( 5 r + 2 s )$

Question

Quizplus · Accepted Answer

The correct factorization is found by looking for two numbers that multiply to $4 \times -35 = -140$ and add to $-4$. The numbers -14 and 10 work, leading to the factorization $(2r - 7s)(2r + 5s)$.

Factor the Expression Completely 4r2−4rs−35s24 r ^ { 2 } - 4 r s - 35 s ^ { 2 }4r2−4rs−35s2

Factor the Expression Completely $4 r ^ { 2 } - 4 r s - 35 s ^ { 2 }$