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Foil Method

Foil Method. F=First O=Outside I=Inside L=Last. ( x + 7 )( x + 4 ). First= multiply the first terms in each binomial.(highlighted in blue) x 2. ( x + 7 )( x + 4 ).

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Foil Method

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  1. Foil Method F=First O=Outside I=Inside L=Last

  2. (x+7)(x+4) • First= multiply the first terms in each binomial.(highlighted in blue) • x2

  3. (x+7)(x+4) • Outside= multiply the the first term in the first binomial by the last term in the second binomial. (the two terms that are farthest apart) • 4x

  4. (x+7)(x+4) • Inside= multiply the last term in the first binomial by the first term in the second binomial.( the terms that are closest together) • 7x

  5. (x+7)(x+4) • Last= multiply the last terms in each binomial. (highlighted in red) • 28

  6. (x+7)(x+4) • Answer: • x2+4x+7x+28 • Combine like terms • x2+11x+28

  7. (x+7)(x+4) • First= multiply the first terms in each binomial.(highlighted in blue) • x2 • Outside= multiply the the first term in the first binomial by the last term in the second binomial. (the two terms that are farthest apart) • 4x • Inside= multiply the last term in the first binomial by the first term in the second binomial.( the terms that are closest together) • 7x • Last= multiply the last terms in each binomial. (highlighted in red) • 28 • Answer: • x2+4x+7x+28 • Combine like terms • x2+11x+28

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