Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f (x) = 9 x 3 + 2 x 2 - 5 x + 4 and g (x) = 5 x 3 - 7 x + 4. what is f (x) - g (x) ? Show all of your steps and write your final answer in factored form.

The answer is 4x³ + 2x² + 2x = 2x (2x² + x + 1)

Step-by-step explanation:

∵ f (x) = 9x³ + 2x² - 5x + 4

∵ g (x) = 5x³ - 7x + 4

∴ f (x) - g (x) = (9x³ + 2x² - 5x + 4) - (5x³ + 0 - 7x + 4)

= (9x³ - 5x³) + (2x² - 0) + (-5x + 7x) + (4 - 4)

= 4x³ + 2x² + 2x = 2x (2x² + x + 1)