Factor completely - 4x2-10x+6

-4x² - 10x + 6

[ax² + bx + c]

Multiply the first and last number (a and c) together.

-4 (6) = - 24

Now find the factors of 24 that can add or subtract to - 10 (b)

24 = 1, 2, 3, 4, 6, 8, 12, 24 (1 * 24, 2 * 12, 3 * 8, 4 * 6)

2 and 12, and 4 and 6 can add or subtract to - 10. I will be using 2 and 12.

Now instead of this:

-4x² - 10x + 6

You can replace - 10x with:

-4x² + 2x - 12x + 6 (this is because the sum of 2x and - 12x is - 10x)

Now factor separately (factor - 2x from [-4x² + 2x], and factor - 6 from [-12x + 6])

-2x (2x - 1) - 6 (2x - 1)

Factor (2x - 1) out

(2x - 1) (-2x - 6)

The Answer is : - 14x + 8