Question

(Ignore work below) Pls help solve! Show steps

Answer 1

4
`x^(4)` - 4x³ + 20x² - 20x

Explanation:

(g × f)(x) = g(x) × f(x) = (x³ + 5x)(4x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x³(4x - 4) + 5x(4x - 4) ← distribute both parenthesis

= 4
`x^(4)` - 4x³ + 20x² - 20x

This can also be done using FOIL, that is

(x³ + 5x)(4x - 4)

= 4
`x^(4)` - 4x³ + 20x² - 20x