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Published byMyrtle Shepherd Modified over 4 years ago

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Warm up

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FOIL

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Definition: Polynomial

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Special Names

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Goal We can add, subtract, multiply and divide these polynomials. Today we are going to focus on how to MULTIPLY BINOMIALS.

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What is FOIL The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym that tells you which terms to multiply.

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FOIL F - first O - outside I - inside L - last

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Example 1 Use the FOIL method to multiply the following binomials: (y + 3)(y + 7)

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(y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y2y2

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(y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y 2 + 7y

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(y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y 2 + 7y + 3y

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(y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y 2 + 7y + 3y + 21 Combine like terms. y 2 + 10y + 21

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Example 2

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Example 3 (2a – 3b)(2a + 4b) Answer: 4a 2 + 2ab – 12b 2

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Example 4: You try

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Example 5: You try

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Example 6: You try

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Homework FOIL Puzzle

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