Question

Suppose you were given f(x) = x²+x-6 and g (x) = x-2. What if you had to calculate f(x) times g(x). What would you do? What is the product?

Answer 1

I think they want you to multiply the two polynomials together

Answer 2

First use the distributive property: \[
(x^2+x-6) \times (x-2) = x(x^2+x-6)-2(x^2+x-6)
\]Do it again \[
x^3+x^2-6x-2x^2-2x+12
\]Add like terms (same exponents) \[

x^3-x^2-8x+12
\]