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Published byBrianna Purcell Modified over 3 years ago

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Find the product. 1.(x + 4)(x + 7) 2.(x + 14)(x + 2) = x 2 + 16x + 28 = 5(2x + 5) Factor. 3. 10x + 25 4. 28x 2 + 35x 5. x 3 + 2x 2 + 4x + 8 = 7x(4x + 5) = (x 2 + 4) (x + 2) = x 2 + 11x + 28

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Sign Rule: When the last term is POSITIVE… When the last term is POSITIVE… The signs inside the parenthesis will be the SAME as the middle numbers sign The signs inside the parenthesis will be the SAME as the middle numbers sign

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Figuring out the Numbers Check to see… Check to see… What factors to give you the last number AND adds to give you the middle number? What factors to give you the last number AND adds to give you the middle number?

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x 2 +7x + 6 For polynomials, how is factoring related to multiplying? ( )( ) xx + 1+ 6 x 2 +7x + 6

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x 2 + 9x + 14 For polynomials, how is factoring related to multiplying? ( )( ) xx + 2+ 7 x 2 + 9x + 14

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x 2 – 6x + 8 For polynomials, how is factoring related to multiplying? ( )( ) xx – 2 – 4– 4 x 2 – 6x + 8

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x 2 – 10x + 16 For polynomials, how is factoring related to multiplying? ( )( ) xx – 2 – 8 x 2 – 10x + 16

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Sometimes you can factor out a GCF 1 st !

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2x 2 – 16x + 24 For polynomials, how is factoring related to multiplying? 2( )( ) xx – 2– 6 2(x 2 – 8x +12)

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3y 2 + 36y + 60 For polynomials, how is factoring related to multiplying? 4x 2 +24x + 32 3(y +10)(y +2) 4(x + 2)(x + 4)

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Sign Rule: When the last term is NEGATIVE… When the last term is NEGATIVE… The parenthesis will have DIFFERENT SIGNS. The parenthesis will have DIFFERENT SIGNS. The larger factor will have the SAME sign as the middle number The larger factor will have the SAME sign as the middle number

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x 2 + 8x – 20 For polynomials, how is factoring related to multiplying? ( )( ) x x – 2 + 10

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x 2 – 4x – 21 For polynomials, how is factoring related to multiplying? ( )( ) x x – 7+ 3

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x 2 – 9x – 36 For polynomials, how is factoring related to multiplying? ( )( ) x x – 12+ 3

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