Question

Factor 12y^2 + 5y - 2 completely.

Answer 1

So the right answer is of option C.

HOPE THIS WILL HELP U...=)

Answer 2

Answer:

C.  (4y - 1)(3y + 2).

Step-by-step explanation:

12y^2 + 5y - 2

Use the ac method.

a = 12 ( the leading coefficient) and c = -2 (the constant last term).

a * c =  -24.

We need 2 numbers whose product is c (-2) and whose sum is  +5 (the coefficient of y).

They are + 8 and -3,  So we write the original expression as:

12y^2 - 3y + 8y - 2      Now we factor this by grouping:

=  3y(4y - 1) + 2(4y - 1)  The  4y - 1 is common so:

= (4y - 1)(3y + 2).