Answer:
-4x^3 + 11x^2 + 2x + 6
Explanation:
You want to first start off by using the FOIL method:
(4x - 3)(-x^2 + 2x-2)
4x * -x^2
-4x^3
4x * 2x
-4x^3 + 8x^2
-4x * -2
-4x^3 + 8x^2 + 8x
-3 * -x^2
-4x^3 + 8x^2 + 8x + 3x^2
-3 * 2x
-4x^3 + 8x^2 + 8x + 3x^2 - 6x
-3 * -2
-4x^3 + 8x^2 + 8x + 3x^2 - 6x + 6
Now combine like terms:
-4x^3 + 11x^2 + 2x + 6