Answer: (2x-7)(3x+4)
Explanation:
There is a technique called the “Slide Method” that can make this easier to solve.
The first step is to slide the coefficient of the 1st term and multiply it to the last term; which becomes:
X^2-13x-28(6) or x^2-13x-168
Next, factor this equation normally. The two factors that go into this are -21 and 8, so we can set this up as: (x-21)(x+8)
After that, divide both sides by the 6 that you previously slid:
(X-21/6)(x+8/6)
Then, reduce the fractions:
(X-7/2)(x+4/3)
After this is the last step. Take the denominator of the fraction, and make it the coefficient of the x variable: (2x-7)(3x+4)
Checking our Work; we get: (6x^2+8x-21x-28)=(6x^2-13x-28)
So, we know that (2x-7)(3x+4) is correct.