What You'll Learn

  • Add, subtract, and multiply polynomials using FOIL and distribution
  • Expand binomials and recognize special patterns (difference of squares, perfect square trinomials)
  • Simplify radical expressions by factoring out perfect squares
  • Rationalize denominators containing radicals
  • Apply polynomial and radical skills to real-world word problems
  • Recognize and avoid common algebraic errors

Before You Start

Make sure you're comfortable with these prerequisite skills:

  • Basic operations with exponents (x2 * x3 = x5)
  • Combining like terms (3x + 5x = 8x)
  • The distributive property: a(b + c) = ab + ac
  • Perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
  • Order of operations (PEMDAS)

Need a refresher? Review the Grade 9 Algebra I materials.

SAT/ACT Alignment

SAT Math: Advanced Math ACT Math Section

This unit builds critical skills tested in both the SAT and ACT. Polynomial operations and radical simplification appear frequently in the Advanced Math domain of the SAT and throughout the ACT Math section.

Lessons

Complete these 6 lessons in order to master the fundamentals of Algebra II.

Additional Resources