Warm up 1. Factor 2. Find an expression for one side of a square if the Area is x 2 + 12x + 36. a) x 2 + 2x - 24 b) x 2 + x - 30.

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Presentation transcript:

Warm up 1. Factor 2. Find an expression for one side of a square if the Area is x x a) x 2 + 2x - 24 b) x 2 + x - 30

CCGPS Geometry 02/24/2014 UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s Question: How do we factor a quadratic when a is not 1? Standard: MCC9-12.A.SSE.3a

Last Term POSITIVE

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

2x 2 – 5x + 3 For polynomials, how is factoring related to multiplying? ( )( ) 2xx – 1– 3 2x 2 – 5x + 3

5x x + 2 For polynomials, how is factoring related to multiplying? ( )( ) 5xx x x + 2

6x 2 – 11x + 3 For polynomials, how is factoring related to multiplying? ( )( ) 2x3x – 1 – 3 6x 2 – 11x + 3

3x 2 – 10x + 3 For polynomials, how is factoring related to multiplying? 2x 2 – 7x + 5 (3x – 1)(x – 3) (2x – 5)(x – 1)

3x 2 – 8x + 4 For polynomials, how is factoring related to multiplying? 2x 2 – 11x + 9 (3x – 2)(x – 2) (2x – 9)(x – 1)

Sometimes you can factor out a GCF 1 st !

14x 2 – 32x + 18 For polynomials, how is factoring related to multiplying? 2( )( ) 7xx – 1– 9 2(7x 2 – 16x + 9)

2y 2 – 17y + 35 For polynomials, how is factoring related to multiplying? 6x 2 – 21x + 15 (2y – 7)(y – 5) 3(x – 1)(2x – 5)

4x 2 – 15x + 9 For polynomials, how is factoring related to multiplying? 3x x + 20 (4x – 3)(x – 3) (3x + 5)(x + 4)

7x 2 – 45x + 18 For polynomials, how is factoring related to multiplying? 4x x + 10 (7x - 3)(x – 6) 2(2x - 1)(x - 5)

Home Work Practice Worksheet