What are Monomial Factors of Polynomials?

1 Answer
Jul 2, 2018

As elaborated.


A polynomial is factored completely when it is expressed as a product of one or more polynomials that cannot be factored further.

Not all polynomials can be factored. To factor a polynomial completely: Identify and factor out the greatest common monomial factor

  1. Break down every term into prime factors.

  2. Look for factors that appear in every single term to determine the GCF.

  3. Factor the GCF out from every term in front of parentheses and group the remnants inside the parentheses.

  4. Multiply each term to simplify.

Few examples are given below to find the GCF.