• Unit 8: Operations with Polynomials

    In this unit, you will become familiar with a special type of algebraic expressions, called a polynomial. A polynomial, as opposed to a monomial, is an expression that contains two or more terms. (The word poly means many in Greek.) Usually the polynomials you will work with will look like x5 + 2x3 + x + 2, or similar. Polynomials have various special properties that you will be analyzing in the future math courses. In this course, you will learn how to recognize, classify, add, subtract, multiply, and divide polynomials. You will apply the skills of combining like terms and using distributive property in order to perform these operations. These skills are helpful when you are dealing with the motion of two or more objects: for example, when you need to calculate when and where one runner will overtake another runner. For another example, these skills are useful if you need to know how much interest you are earning from two or more savings accounts.

    Completing this unit should take you approximately 14 hours.

    • 8.1: Classification of Polynomials

    • 8.2: Addition and Subtraction of Polynomials

      • 8.3: Multiplying Polynomials

          • 8.3.1: Multiplying Polynomial by a Monomial

          • 8.3.2: Multiplying a Polynomial by a Polynomial

            • Multiplying Binomials (FOIL)

            • Special Products of Binomials

              • Complete Square

              • Difference of Two Squares

            • Multiplying Polynomials with Any Number of Terms

        • 8.4: Dividing Polynomials