If c(x) = 4x - 2 and d(x) = x² + 5x, what is (c*d)(x)?

Solution:

Given :

c(x) = 4x -2 and 

d(x) = x² + 5x

The function (c*d)(x) is the product of the two functions c(x) and d(x).

(c*d)(x) = c(x) × d(x)

= (4x -2) × (x² + 5x)

= (4x -2)(x²) + (4x -2)(5x)

=  4x³ - 2x²  + 20x²  - 10x

=  4x³ + 18x² - 10x

If c(x) = 4x - 2 and d(x) = x² + 5x, what is (c*d)(x)?

Summary:
If c(x) = 4x - 2 and d(x) = x² + 5x, then  (c*d)(x) = 4x³ + 18x² - 10x