Answer:
A. [tex]4(2x+1)(x-2)[/tex]
Explanation:
[tex]8x^{2} -12x-8[/tex]
1. You can factor out a 4.
[tex]4(2x^{2} -3x-2)[/tex]
2. Factor [tex](2x^{2} -3x-2)[/tex].
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.
[tex]4(2x+1)(x-2)[/tex]
