f (x) = 6x^3 - 3x^2 + 4x - 4 and g (x) = 9x^2 + x - 1 what is f (x) - g (x) show all of your steps and write your final answer in factored form
To find f(x) - g(x), we need to subtract each term of g(x) from f(x):
f(x) - g(x) = (6x^3 - 3x^2 + 4x - 4) - (9x^2 + x - 1)
Next, we will simplify this expression by combining like terms:
f(x) - g(x) = 6x^3 - 3x^2 + 4x - 4 - 9x^2 - x + 1
= 6x^3 - 12x^2 + 3x - 3
Finally, we can factor out a 3 from each term of the expression:
f(x) - g(x) = 3(2x^3 - 4x^2 + x - 1)
Therefore, f(x) - g(x) = 3(2x^3 - 4x^2 + x - 1) in factored form.