Factor the polynomial completely. $3 x + 3 y + a x + a y$
A) $( x + a ) ( 3 + y )$
B) $( x + y ) ( 3 + a )$
C) $( x + y ) ( 3 - a )$
D) $( x + 3 ) ( y - a )$
E) not factorable

Question

Quizplus · Accepted Answer

Factor out the common factor of 3 and a, which gives $3x+3y+ax+ay=3(x+y)+a(x+y)=(3+a)(x+y)$. Therefore, the correct choice is B, which shows the factors as $(x+y)(3+a)$.

Factor the Polynomial Completely 3x+3y+ax+ay3 x + 3 y + a x + a y3x+3y+ax+ay

Factor the Polynomial Completely $3 x + 3 y + a x + a y$