Question

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

Part 1. Show all work using long division to divide your polynomial by the binomial.

Part 2. Show all work to evaluate f(a) using the function you created.

Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function

Answer 1

What's the polynomial you created?

Answer 2

2x^2 + 4x + 8

Answer 3

and the linear binomial?

Answer 4

x - 9

Answer 5

Polynomial long division works just like it does with numbers. See the link: http://www.purplemath.com/modules/polydiv2.htm