9­13 Factoring polynomials.notebook

1

September 13, 2016

Sep 5­4:38 PM

Objective:

Factoring Polynomials

HWHomework worksheet

Do Now: Find the Greatest Common Factor

Sep 12­12:31 PM

Do Now:

9­13 Factoring polynomials.notebook

2

September 13, 2016

Sep 11­5:18 PM

28: 1, 2, 4, 7, 14, 28

42: 1, 2, 3, 6, 7, 14, 21, 42

Answer: 14

14: 1, 2, 7, 14

63: 1, 3, 7, 9, 21, 63

Answer: 7

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

84: 1, 2, 3, 4, 6, 7, 12, 14,

21, 28, 42, 84

Answer: 12

75: 1, 3, 5, 15, 25, 75

30: 1, 2, 3, 5, 6, 10, 15 30

Answer: 15

Sep 11­5:19 PM

9: 1, 3, 9

39: 1, 3, 13, 39

Answer: 3

27: 1, 3, 9, 27

54: 1, 2, 3, 6, 9, 18, 27, 54

Answer: 27

72: 1, 2, 3, 6, 8, 9, 24, 27, 36, 72

56: 1, 2, 4, 6, 8, 14, 28, 56

Answer: 8

95: 1, 5, 19, 95

19: 1, 19

Answer: 19

9­13 Factoring polynomials.notebook

3

September 13, 2016

Sep 11­5:19 PM

12x3: 1, 2, 3, 4, 6, 12 x x x

15x4: 1, 3, 5, 15 x x x x

Answer: 3x2

21y2: 1, 3, 7, 21 y y

30y: 1, 2, 3, 5, 6, 10, 15, 30 y

Answer: 3y

Sep 12­12:21 PM

Rules for FactoringGreatest Common Factor

Binomial Trinomial Polynomial

Difference of Two Perfect Squares "DOTS"

Factor in (x+c)(x+d) form

Factor by grouping

9­13 Factoring polynomials.notebook

4

September 13, 2016

Sep 12­12:33 PM

Factoring Binomials by

finding the GCF

** Same as finding the greatest common factor (GCF) except now it's an

expression so you must keep the plus or minus sign

Sep 12­12:33 PM

Factoring Binomials by

finding the GCF

9­13 Factoring polynomials.notebook

5

September 13, 2016

Sep 12­12:33 PM

Factoring Binomials by

using the Difference of two perfect squares "DOTS"

**There must be a subtraction sign in order to use this method!

Sep 12­11:22 PM

9­13 Factoring polynomials.notebook

6

September 13, 2016

Sep 12­11:27 PM

Factoring Binomials by

using the Difference of two perfect squares "DOTS"

Sep 12­12:33 PM

Factoring trinomials by

finding the GCF

9­13 Factoring polynomials.notebook

7

September 13, 2016

Sep 12­12:33 PM

Factoring trinomials by

using (x+c)(x+d) form

**When the trinomial is ax2 + bx + c you are looking for numbers that multiply to give you

c and add/subtract to give you b.

Sep 12­12:33 PM

Factoring trinomials by

using (x+c)(x+d) form

**we need factors that multiply to 6

but add to 5

**we need factors that multiply to -20

but add to 8

9­13 Factoring polynomials.notebook

8

September 13, 2016

Sep 12­11:38 PM

Partner Practice

Sep 12­11:38 PM

Partner Practice

9­13 Factoring polynomials.notebook

9

September 13, 2016

Sep 12­11:52 PM