SOLUTION: how do we use remainder theorem to determine the reminder when p(x) is divided by d(x)?

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Question 1046556: how do we use remainder theorem to determine the reminder when p(x) is divided by d(x)?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
About the Remainder Theorem, read the lesson
    - Divisibility of polynomial f(x) by binomial x-a
in this site.


   Theorem   (the remainder theorem)

   1. The remainder of division the polynomial  f%28x%29  by the binomial  x-a  is equal to the value  f%28a%29  of the polynomial.

   2. The binomial  x-a  divides the polynomial  f%28x%29  if and only if the value of  a  is the root of the polynomial  f%28x%29,  i.e.  f%28a%29+=+0.

   3. The binomial  x-a  factors the polynomial  f%28x%29  if and only if the value of  a  is the root of the polynomial  f%28x%29,  i.e.  f%28a%29+=+0.


The Remainder theorem works when you divide a polynomial with integer coefficients by a binomial (x-a) with integer "a".