Factor completely. If the polynomial is prime, so state.
-
A) (6y + 3)(y + 2)
B) (2y + 3)(3y + 2)
C) (2y - 3)(3y - 2)
D) prime

Question

Factor completely. If the polynomial is prime, so state.
-
A) (6y + 3)(y + 2) 
B) (2y + 3)(3y + 2) 
C) (2y - 3)(3y - 2) 
D) prime

Quizplus · Accepted Answer

The polynomial can be factored using the difference of squares as (22y2 - 9). Then, using the difference of squares again, it can be factored as (2y-3)(2y+3)(3y-2)(3y+2). However, two of these factors cancel out, leaving only (2y-3)(3y-2). Therefore, the correct answer is C. The given polynomial can be factored as (22y - 6)(33y + 5). Simplifying this gives (2y - 3)(3y - 2), which matches choice C.

Factor Completely