F (x) = 3x - 4x2 + 6x and g (x) = 5x + 2x2 - 3x. What is f (x) g (x) ?

A) - 2x - 6x² + 9x

B) - 2x² - 6x² - 3x

C) 2x²+6x²+32

D) 8x2 - 6x2-9x

f (x) g (x) = 9x² + 10x - 16

Step-by-step explanation:

Step 1:

Given f (x) = 3x - 4 * 2 + 6x and g (x) = 5x + 2 * 2 - 3x

f (x) = 9x - 8

g (x) = 2x + 4

f (x) g (x) = (9x - 8) (2x + 4)

= 18x² + 36x - 16x - 32

= 18x² + 20x - 32

= 9x² + 10x - 16