Answer:
(f × g)(x) = 3x^3 - 14x^2 -27x + 18
Explanation:
That is f(x) × g(x). You have to multiply them as separate polynomials.
(f × g)(x) = (3x^2 + 4x - 3)(x - 6)
Use the foil method.
(f × g)(x) = 3x^3 - 18x^2 + 4x^2 - 24x - 3x + 18
Finally, simplify.
(f × g)(x) = 3x^3 - 14x^2 - 27x + 18