Warm up

1. Solve.

2. Solve.

m2 + 11m + 30 = 0

x2 - 36 = 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.

2x2 – 5x + 3

For polynomials, how is factoring related to multiplying?

( )( )2x x – 1

– 3

2x2 – 5x + 3

5x2 + 11x + 2

For polynomials, how is factoring related to multiplying?

( )( )5x x +

2+ 1

5x2 + 11x + 2

3x2 – 10x + 7

For polynomials, how is factoring related to multiplying?

( )( )3x x – 1– 7

3x2 – 10x + 7

2x2 – 7x + 6

For polynomials, how is factoring related to multiplying?

( )( )2x x – 2– 3

2x2 – 7x + 6

6x2 – 11x + 3

For polynomials, how is factoring related to multiplying?

( )( )2x 3x– 1– 3

6x2 – 11x + 3

3x2 – 10x + 3

For polynomials, how is factoring related to multiplying?

2x2 – 7x + 5

(3x – 1)(x – 3)

(2x – 5)(x – 1)

3x2 – 8x + 4

For polynomials, how is factoring related to multiplying?

2x2 – 11x + 9

(3x – 2)(x – 2)

(2x – 9)(x – 1)

Sometimes Sometimes you can you can

factor out a factor out a GCF 1GCF 1stst!!

14x2 – 32x + 18

For polynomials, how is factoring related to multiplying?

2( )( )7x x – 1

– 9

2(7x2 – 16x + 9)

2y2 – 17y + 35

For polynomials, how is factoring related to multiplying?

6x2 – 21x + 15

(2y – 7)(y – 5)

3(x – 1)(2x – 5)

4x2 – 15x + 9

For polynomials, how is factoring related to multiplying?

3x2 + 17x + 20

(4x – 3)(x – 3)

(3x + 5)(x + 4)

HomeworkFactoring Worksheet