Question

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.

Answer 1

6

Explanation:

Answer 2

Therefore, f(x) − g(x) = 3(2x^3 − 4x^2 + x − 1).

Explanation:

To find f(x) − g(x), we need to subtract g(x) from f(x).

f(x) − g(x) = (6x^3 − 3x^2 + 4x − 4) − (9x^2 + x − 1)

We can simplify this expression by combining like terms:

f(x) − g(x) = 6x^3 − 3x^2 + 4x − 4 − 9x^2 − x + 1

f(x) − g(x) = 6x^3 − 12x^2 + 3x − 3

Finally, we can factor this polynomial:

f(x) − g(x) = 3(2x^3 − 4x^2 + x − 1)

Therefore, f(x) − g(x) = 3(2x^3 − 4x^2 + x − 1).