Online College Courses for Credit

HA2 S5.4 Factoring Polynomials (day 1)

HA2 S5.4 Factoring Polynomials (day 1)

Author: Renee Voltin


This packet starts with discussion of the Greatest Common Factor (GCF) and factoring of the GCF.  It then looks at the factoring of the special binomials "Difference of Squares" along with "Difference of Cubes", "Sum of Cubes" and "Perfect Square Trinomials".  Moving from these special cases (two and three terms) to four-term polynomials, "Factor by Grouping" is discussed, as this method is used throughout the factoring of trinomials (a = 1 and a ≠ 1).



  • Factor Polynomials
    • GCF
    • Difference of Squares
    • Perfect Square Trinomial
    • Difference and sum of cubes
    • Factor by grouping    (covered in 'day2' learning packet)
    • Trinomial (a = 1, a ≠ 1)  (covered in 'day2' learning packet)
  • Simplify polynomial quotients by factoring      (covered in 'day2' learning packet)


See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

47 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 33 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Example 1 Greatest Common Factor (GCF)

Example 2 Difference of Squares

Example 3 Perfect Square Trinomials

Example 4 Sum and Difference of Cubes

PDF of COMPLETED NOTES for this learning packet