Polynomial Division and Factorization - Proof of Remainder Theorem
- Exercise 4
Given f(x) is a polynomial that is divided by g(x) = x - c and the
resulting quotient is Q(x) and the resulting remainder is r. Show that
f(c) = r. Hint: Apply the Division Algorithm to write f(x) as
a product plus a remainder. Then let x=c. No further
justification is needed, but be able to explain your work.
D(x) results in a quotient of Q(x) and a remainder of r.