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CCGPS Geometry Day 45 (10-15-13) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s QuesTion: For polynomials, how is factoring related to multiplying? Standard: MCC9-12.A.SSE.3a Sign Rule: When The the last term is POSITIVE… signs inside the parenthesis will be the SAME as the middle number’s sign Figuring out the Numbers Check to see… What multiplies to give you the last number AND adds to give you the middle number? 2 x +7x + 6 ( x + 6 )( x + 1 ) For polynomials, how is factoring related to multiplying? 2 x + 9x + 14 ( x + 7 )( x + 2 ) For polynomials, how is factoring related to multiplying? 2 x – 6x + 8 ( x – 4 )( x – 2 ) For polynomials, how is factoring related to multiplying? 2 x – 10x + 16 ( x – 8 )( x – 2 ) For polynomials, how is factoring related to multiplying? Sometimes you can factor out a st GCF 1 ! 2 2x – 16x + 24 2 2(x – 8x +12) 2( x – 6)( x – 2) For polynomials, how is factoring related to multiplying? 3y2 + 36y + 60 3(y +10)(y +2) 2 4x +24x + 32 4(x + 2)(x + 4) For polynomials, how is factoring related to multiplying? Sign Rule: When The the last term is NEGATIVE… parenthesis will have DIFFERENT SIGNS. The larger factor will have the SAME sign as the middle number 2 n + 2n – 48 ( n + 8 )( n – 6 ) For polynomials, how is factoring related to multiplying? 2 x + 8x – 20 (x + 10)( x – 2 ) For polynomials, how is factoring related to multiplying? 2 x – 4x – 21 (x + 3 )( x – 7 ) For polynomials, how is factoring related to multiplying? 2 x – 9x – 36 (x + 3 )( x – 12 ) For polynomials, how is factoring related to multiplying?