Please show how to factor this I really don't understand, 3x^2−10x−8.

(x - 4) (3x + 2)

Step-by-step explanation:

Factor 3x² - 10x - 8

a) Multiply the first and last coefficients: 3(-8) = -24

b) Find two numbers whose product equals -24 and sum equals -10 (the middle coefficient).

                                           -24

                                             ∧

                                          1    -24

                                          2    -12    This works!

c) Replace the the middle term of -10x with 2x - 12x

    3x² + 2x - 12x - 8

d) Split the equation into two sections (left and right) and factor each side separately.

     3x² + 2x          - 12x - 8

   x(3x + 2)            -4(3x + 2)

e) Notice that the parenthesis are the same. The values on the outside combine to make one of the factors and the parenthesis are the other factor.

 x(3x + 2)            -4(3x + 2)

= (x - 4) (3x + 2)

20

step-by-step explanation: