Question

Is the expression below completely factored? If not, complete the factorization.

4y(8y3 – 12y2 + 6y)

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y?(4y2 - 6y + 3).

B) Yes, because the greatest common factor is 4y, and the completely factored form is 44(8y3 - 12y2 + 6y).

C) No, because the greatest common factor 4y?, and the completely factored form is 4y?(8y2 - 12y + 6).

D) No, because the greatest common factor is sy, and the completely factored form is 8y(4y3 - 6y2 + 3y).

Answer 1

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).

Explanation:

Considering the expression

4y(8y3 – 12y2 + 6y)

From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element

8y3/2y = 4y2

12y2/2y = 6y

6y/2y = 3

Hence

4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)

= 8y2(4y2 - 6y + 3)