Question

Factor the trinomial below.

Answer 1

Answer:

A. $4(2x+1)(x-2)$

Explanation:

$8x^{2} -12x-8$

1. You can factor out a 4.

        $4(2x^{2} -3x-2)$

2. Factor $(2x^{2} -3x-2)$.

        X-Method:

        1. Draw an X

        2. Multiply ac (2(-2)=-4) then put it in the top part of the X

        3. Then put b, -3, in the bottom part of the X

        4. On the two sides of the X find out what added together equals b, -3,

        and multiplied equals ac, -4.

        5. -4(1)=-4 & -4+1=-3

        6. If the quadratic has a coefficient then you must divide the two sides

        of the X by that coefficient, 2.

        7. -4/2=-2 & 1/2 can't be evenly divided into, so in this case the

        coefficient remains.

        8. When you write this out it will be (2x+1)(x-2)

3. Put it together to get your answer.

        $4(2x+1)(x-2)$