Question

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

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

Answer 1

x - a is divisor of f(x) if and only if f(a) = 0

f(x) = x^2 -1

linear binomial: x + 1

(x^2 - 1)/(x + 1) = (x + 1)(x - 1)/(x + 1) = x - 1
hence is a divisor

f(1) = 0
so it corroborates the reminder theorem