Question

Given that f(x) = x2 + 4x – 21 and g(x) = x - 3, find f(x) · g(x) and

express the result in standard form.

Answer 1

9514 1404 393

Answer:

(f·g)(x) = x^3 +x^2 -33x +63

Explanation:

The product of the two functions can be found using the distributive property.

`f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}`