30. f (x) = 11x3 + 3x2 - 4x + 2 and g (x) = 5x3 - 7x + 2. What is f (x) - g (x) ? Show all of your steps and

write your final answer in factored form.

3x (2x^2 + x-1)

Step-by-step explanation:

f (x) = 11x^3 + 3x^2 - 4x + 2,

g (x) = 5x^3 - 7x + 2,

f (x) - g (x) = 11x^3+3x^2-4x+2 - (5x^3-7x + 2) =

11x^3+3x^2 - 4x+2-5x^3+7x-2=

(11x^3-5x^3) + 3x^2 + (-4x+7x) + (2-2) =

6x^3 + 3x^2 - 3x=

3x (2x^2 + x-1)