Factor the polynomial by grouping (if possible).
-$3 r s - 5 c r - 15 c s + 25 c ^ { 2 }$
A) $r ( 3 s - 5 c ) - 5 \left( 3 c s - 5 c ^ { 2 } \right)$
B) $( 3 s - 5 c ) ( r - 5 c )$
C) $c ( 3 s - 5 c ) ( r - 5 )$
D) Cannot be factored

Question

Quizplus · Accepted Answer

First, group the terms: $3rs - 5cr$ and $-15cs + 25c^2$. Factoring out the common factors from each group gives $r(3s - 5c) - 5c(3s - 5c)$. Notice that $3s - 5c$ is a common factor, so the expression can be factored as $(3s - 5c)(r - 5c)$.

Factor the Polynomial by Grouping (If Possible) 3rs−5cr−15cs+25c23 r s - 5 c r - 15 c s + 25 c ^ { 2 }3rs−5cr−15cs+25c2

Factor the Polynomial by Grouping (If Possible) $3 r s - 5 c r - 15 c s + 25 c ^ { 2 }$