Question

If c (x) = 4x – 2 and d(x) = x2 + 5x, what is (cd) (x)

Answer 1

c(x) = 4x - 2

d(x) = x^2 + 5x

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

Using FOIL, distribute each term appropriately.

4x^3 + 20x^2 - 2x^2 - 10x

Combine like terms.

4x^3 + 18x^2 - 10x is the simplified polynomials achieved when c(x) and d(x) are multiplied.