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MTH 091

MTH 091. Section 10.5 Multiplying Polynomials Section 10.6 Special Products. Overview. In these sections we focus on multiplying polynomials, with an emphasis on the FOIL method, squaring a binomial, and the difference of two squares.

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MTH 091

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  1. MTH 091 Section 10.5 Multiplying Polynomials Section 10.6 Special Products

  2. Overview • In these sections we focus on multiplying polynomials, with an emphasis on the FOIL method, squaring a binomial, and the difference of two squares. • The rules for multiplying with like bases (10.1), and combining like terms (10.3 and 10.4) are utilized for these purposes.

  3. Multiplying Polynomials • If you are multiplying a monomial by a binomial, trinomial, or any other polynomial, distribute the monomial over each term. • If you are multiplying one polynomial by another polynomial, distribute each term in the first polynomial over the second polynomial, then combine like terms as needed.

  4. Examples

  5. The FOIL Method • Used to find the product of two binomials. • “F” stands for First • “O” stands for Outer • “I” stands for Inner • “L” stands for Last • Be sure to combine any like terms. They are usually in the middle.

  6. Examples

  7. Examples

  8. Squaring A Binomial • To “square” something means to multiply that something by itself. • The best way to square a binomial: • Write the binomial twice. • Apply the FOIL method. • Important: (a + b)2is not a2 + b2!!!!! • (a + b)2 = a2 + 2ab + b2 • (a – b)2 = a2 – 2ab + b2

  9. Examples

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