Week 6 – Math 10 – Factoring Polynomials

First of all what is factoring? Well, it is the opposite of multiplication and is parallel to division. So when we are factoring polynomials it is basically doing the opposite to what we did in multiplication.

Here are three easy steps to factoring :

1) Take out the Greatest Common Factor (GCF) if possible.

One way to take out the GCF is by using prime factorization. A short reminder that prime factorization is in number theory, integer factorization is the decomposition of a composite number into a product of smaller integers that are prime numbers.

2) Identify the number of terms.
3) Check by multiplying.

What is the GFC :

It is short for Greatest Common Monomial, you multiply this (the GCM) by the sum/difference of the remaining monomials.

Example using the three easy steps :

After you have the answer to check if it is right, take the factor and multiply it.