Steps for factorization using remainder theorem

We been learning on monomials and polynomials for so long, you are perfect in these concepts, now lets find the steps for factorization using reminder theorem.

For refreshing your minds go through the previous post which has the details on monomials and polynomials. This will help you to understand the below post much easily.

Polynomial remainder theorem is an algebraic application of polynomial long division. Whenever we divide a polynomial P(x) by x-a we get a quotient Q(x) that is a polynomial and remainder R that is a constant. In fact, when P(x) is divided by x-a, the remainder R=P (a). This is the remainder theorem.

Now lets work on Steps for factorization using remainder theorem.

1. We can find the factor of the constant for the given expression becomes equal to zero with the help of trial and error method.

2. Divide the given expression by the factors that are determined in step 1.

3. Factorise the quotient and if the quotient is a trinomial, factorise it further.

4. If the expression is a 4^th degree expression, the first step will be to reduce this to a trinomial and then factorise this trinomial further.

Now that you know what Remainder theorem is and steps for factorization using remainder theorem, work on these problems and get perfect in it. Feel free to post you comments on this concept.