Answer:
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).