Polynomial Division

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

x^2 +2x -3 divided by x+1 = x-3

x^2+2x-3 = (x+1)/(x-3)

(x+1)(x-3)/(x+1) = x-3. the (x+1) terms cancel. Remainder = 0

use a for -1 if you want x-a to be the divisor and x^2+2x -3 as the dividend with x-a as the divisor. x--1 = x+1.

it's a factor because the remainder = 0