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MULTIPLYING BINOMIALS

MULTIPLYING BINOMIALS. Solve the following problems using the distributive property. x ( 3 + 7 ) = ( 2x + 3 ) x =. 3x + 7x 10x. 2x 2 + 3x. OBJECTIVE. Today we will learn how to multiply binomials by using the FOIL method. USING THE DISTRIBUTIVE PROPERTY. ( x + 2 ) ( x + 5 ) =.

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MULTIPLYING BINOMIALS

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  1. MULTIPLYING BINOMIALS

  2. Solve the following problems using the distributive property. • x ( 3 + 7 ) = • ( 2x + 3 ) x = 3x + 7x 10x 2x2 + 3x

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

  4. USING THE DISTRIBUTIVE PROPERTY • ( x + 2 ) ( x + 5 ) = ( x + 2 ) (x) + ( x + 2 ) (5) x2 + 2x + 5x + 10 x2 + 7x + 10

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

  6. EXAMPLES • ( x + 4 ) ( x + 8 ) = • ( x + 5 ) ( x – 6) = x2 + 8x + 4x + 32 x2 + 12x + 32 x2 − 6x + 5x − 30 x2 − x − 30

  7. PRACTICE x2 + 3x + 10x + 30 x2 + 13x + 30 ( x + 10 ) ( x + 3 ) = ( x − 7 ) ( x − 4 ) = x2 − 4x − 7x + 28 x2 − 11x + 28

  8. EXAMPLES ( 2x2 + 4 ) ( 3x − 5 ) = 6x3 − 10x2 + 12x − 20 ( 3x2 − 6x) (4x + 2) = 12x3 + 6x2 − 24x2 − 12x 12x3 − 18x2 − 12x

  9. PRACTICE ( 4x2 + 2 ) ( 2x + 8 ) = 8x3 + 32x2 + 4x + 16 3x3 − 27x2 − 7x2 + 63x 3x3 −34x2 + 63x (3x2 − 7x ) ( x − 9 ) =

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

  11. 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 ) = • ( 2x2 − 7 ) ( 4x − 2 ) =

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