POLYNOMIAL FACTORIZATION STEP BY STEP

The goal is to convert the polynomial into a product (multiplication) of monomials and binomials if possible (multiplication of numbers and letters in parentheses), named factoring polynomials.

Prerequisites: Know how to extract common factor, the remarkable products, dividing by Ruffini and know the rule of checking division.

Case a)

        we extract the common factor, x:

Caso b)

   We use the necessary remarkable formula (in this case (a+b)(a-b)=a²-b² ) but in reverse for factoring

Case c)

        We take out the common factor, x:

       We order the polynomial in brackets:

        We divide the polynomial by Ruffini metod between what we can

                                             for cero remainder (in this case between (x-1)) as often as we can

     

                  Substituting the polynomial by the product of the dividers and the last quotient:

 

 

Try the factoring polynomial calculator.