Question

HELP QUICK GIVING 25 POINTS, Also use distrib property!!

Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)

Answer 1

6x^5 + 11x^3 - 12x^2 - 10x + 8

Explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8