Warm up 1. Solve. 2. Solve. m 2 + 11m + 30 = 0 x 2 - 36 = 0.

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Presentation transcript:

Warm up 1. Solve. 2. Solve. m m + 30 = 0 x = 0

Math II UNIT QUESTION: What is a quadratic function? Standard: MM2A3, MM2A4 Today’s Question: How do you factor when you have a leading coefficient, a≠1? Standard: MM2A4.b.

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

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

2x 2 – 7x + 6 For polynomials, how is factoring related to multiplying? ( )( ) 2xx – 2 – 3 2x 2 – 7x + 6

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)

Homework Factoring Worksheet