Multiplying Binomials Mentally (the FOIL method) Chapter 5.4.

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Presentation transcript:

Multiplying Binomials Mentally (the FOIL method) Chapter 5.4

Example 1 Write the product as a trinomial: Method One: Polynomial Multiplication

Example 1 Method Two: FOIL Method F = FIRST O = OUTSIDE I = INSIDE L = LAST

Vocabulary Quadratic term: has degree two, for example 6x 2 Linear term: has degree one, for example 7x Constant term: has degree zero (no variable factor), for example –20

Remember that when you multiply two BInomials, you will almost ALWAYS obtain a TRInomial as a result Polynomial Multiplication Method –Like using Distributive Method TWICE –Multiply first term by second binomial, then multiply second term by second binomial and find their sum FOIL Method –First –Outside –Inside –Last Steps in multiplying binomials mentally: