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Published bySantino Dovell Modified over 2 years ago

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MULTIPLYING BINOMIALS

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Solve the following problems using the distributive property. x ( 3 + 7 ) = ( 2x + 3 ) x = 3x + 7x 10x 3x + 7x 10x 2x 2 + 3x

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OBJECTIVE Today we will learn how to multiply binomials by using the FOIL method.

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USING THE DISTRIBUTIVE PROPERTY ( x + 2 ) ( x + 5 ) = ( x + 2 ) (x) + ( x + 2 ) (5) x 2 + 2x + 5x + 10 x 2 + 7x + 10

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F.O.I.L F irst O uter I nner L ast ( x + 2 ) ( x + 5 )

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EXAMPLES ( x + 4 ) ( x + 8 ) = ( x + 5 ) ( x – 6) = x2x2 + 8x+ 4x+ 32 x2x2 − 6x+ 5x− 30 x 2 + 12x + 32 x 2 + 12x + 32 x 2 − x − 30

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PRACTICE ( x − 7 ) ( x − 4 ) = ( x + 10 ) ( x + 3 ) = x 2 + 3x + 10x + 30 x 2 + 13x + 30 x 2 + 3x + 10x + 30 x 2 + 13x + 30 x 2 − 4x − 7x + 28 x 2 − 11x + 28 x 2 − 4x − 7x + 28 x 2 − 11x + 28

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( 2x 2 + 4 ) ( 3x − 5 ) = ( 3x 2 − 6x) (4x + 2) = EXAMPLES 6x 3 − 10x 2 + 12x− 20 12x 3 + 6x 2 − 24x 2 − 12x 12x 3 − 18x 2 − 12x

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( 4x 2 + 2 ) ( 2x + 8 ) = 8x 3 + 32x 2 + 4x + 16 (3x 2 − 7x ) ( x − 9 ) = 3x 3 − 27x 2 − 7x 2 + 63x 3x 3 −34x 2 + 63x 3x 3 − 27x 2 − 7x 2 + 63x 3x 3 −34x 2 + 63x PRACTICE

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QUICK REVIEW o When multiplying binomials we can think of it as using the distributive property twice or by using the FOIL method. First Outer Inner Last

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EXIT SLIP On a piece of paper answer the following questions: How does the distributive property related to the FOIL method? What does FOIL stand for? ( x + 3 ) ( x − 8 ) = ( 2x 2 − 7 ) ( 4x − 2 ) =

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Multiply Binomials (ax + b)(cx +d) (ax + by)(cx +dy)

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