- Look to factor out any GCF.
- Four-Term Polynomials - Factor by grouping.
- Trinomials - Factor using the "guess and check" method.
- Binomials - Use the the special products in this order:
Sum and Difference of Squares
Sum and Difference of Cubes
* If a binomial is both a difference of squares and cubes, then to obtain a more complete factorization, factor it as a difference of squares first.* Not all polynomials factor. In this case, beginning algebra students may write, "does not factor - DNF."