Factor the trinomial, if possible.
-$$36 x ^ { 2 } + 21 x y + 3 y ^ { 2 }$$
A) $( 9 x + 3 y ) ( 4 x + y )$
B) $( 3 x + y ) ( 3 x + 3 y )$
C) $3 ( 3 x + y ) ( 4 x + y )$
D) $3 ( 3 x - y ) ( 4 x - y )$

Question

Quizplus · Accepted Answer

The trinomial can be factored by first factoring out the greatest common factor, which is 3, resulting in $3(12x^2 + 7xy + y^2)$. This can then be factored into $3(3x + y)(4x + y)$, matching option C.

Factor the Trinomial, If Possible 36x2+21xy+3y236 x ^ { 2 } + 21 x y + 3 y ^ { 2 }36x2+21xy+3y2

Factor the Trinomial, If Possible $36 x ^ { 2 } + 21 x y + 3 y ^ { 2 }$