Factor: $2 c ^ { 2 } + 18 c + 36$
A) $( 2 c + 12 ) ( c - 3 )$
B) $2 ( c + 6 ) ( c - 3 )$
C) $2 ( c + 6 ) ( c + 3 )$
D) $( 2 c + 12 ) ( 3 c + 1 )$
E) Nonfactorable over the integers

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is 2, to get $2(c^2 + 9c + 18)$. Then, find factors of 18 that add up to 9, which are 6 and 3. So, the factored form is $2(c + 6)(c + 3)$.

Factor 2c2+18c+362 c ^ { 2 } + 18 c + 362c2+18c+36

Factor $2 c ^ { 2 } + 18 c + 36$