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

Question 1046556: how do we use remainder theorem to determine the reminder when p(x) is divided by d(x)?

Answer by ikleyn(52803)   (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    by the binomial    is equal to the value    of the polynomial.

   2. The binomial    divides the polynomial    if and only if the value of    is the root of the polynomial , i.e. .

   3. The binomial    factors the polynomial    if and only if the value of    is the root of the polynomial , i.e. .

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

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