Algebra IIAlgebra IIFactoringFactoring

Welcome to Algebra IIWelcome to Algebra II• Smile • Today we will be learning about

factoring• We will be using those skills to solve

quadratic application problems• Items needed for class today:

• Smile • Today we will be learning about

factoring• We will be using those skills to solve

quadratic application problems• Items needed for class today:

Agenda for TodayAgenda for Today• Smile • Warm Ups• Section ? Factoring Trinomials• Guided Practice • Computer Applet• Think Pair Share• Assignment

• Smile • Warm Ups• Section ? Factoring Trinomials• Guided Practice • Computer Applet• Think Pair Share• Assignment

Warm UpsWarm Ups

Warm UpsWarm Ups

• List the factor pairs for 30.

• Answers1, 302, 153, 105, 6

• List the factor pairs for 30.

• Answers1, 302, 153, 105, 6

Warm UpsWarm Ups

• List the factor pairs for 24.

• Answers1, 242, 123, 84, 6

• List the factor pairs for 24.

• Answers1, 242, 123, 84, 6

Warm UpsWarm Ups

• Expand the product.• Expand the product.

(2 1)(3 3)x x 2Answer: 6 6 3 3x x x 26 3 3x x

Warm UpsWarm Ups

• Expand the product.• Expand the product.

2(4 5)x 2Answer: 16 20 20 25x x x 216 40 25x x

(4 5)(4 5)x x

Essential Question 5.2Essential Question 5.2

• How do you factor a polynomial?

• Can you determine a GCF?

• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor

• How do you factor a polynomial?

• Can you determine a GCF?

• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor

ExamplesExamples

Example 1Example 1

• Factor• Factor 22 7 15x x

Answer: (2 3)( 5)x x

ac=-30 b=-7

-10,3 -10 + 3 = -722 3 10 15x x x

(2 3) 5(2 3)x x x

1. Multiply the a and c terms2. Define factor pairs and sums3. Relace b term with factor pairs4. Factor by grouping

Example 2Example 2

• Factor• Factor 22 7 3x x

Answer: (2 1)( 3)x x

ac=6 b=7

1, 6 1 + 6 = 7

22 6 3x x x (2 1) 3(2 1)x x x

1. Multiply the a and c terms2. Define factor pairs and sums3. Relace b term with factor pairs4. Factor by grouping

Example 3Example 3

• Factor• Factor23 17 10x x

Answer: (3 2)( 5)x x

ac= 30 b=17

15,2 15 + 2 = 1723 2 15 10x x x

(3 2) 5(3 2)x x x

Example 4Example 4

• Factor• Factor28 18 9x x

Answer: (4 3)(2 3)x x

ac=72 b=18

12, 6 12 + 6 = 1828 6 12 9x x x

2 (4 3) 3(4 3)x x x

Guided PracticeGuided Practice

Guided PracticeGuided Practice

• Factor• Factor 25 7 2x x

Answer: (5 2)( 1)x x

ac=10 b=-7

-5, -2 -5 + -2 = -725 5 2 2x x x

5 ( 1) 2( 1)x x x

Guided PracticeGuided Practice

• Factor• Factor 210 19 6x x

Answer: (5 2)(2 3)x x

ac=60 b=-19

-15, -4 -15 - 4 = -19210 15 4 6x x x

5 (2 3) 2(2 3)x x x

Guided PracticeGuided Practice

• Factor• Factor 26 13 5x x

Answer: (3 1)(2 5)x x

ac=-30 b=-13

-15, 2 -15 + 2 = -1326 15 2 5x x x

3 (2 5) 1(2 5)x x x

Guided PracticeGuided Practice

• Factor• Factor 210 11 3x x

Answer: (2 1)(5 3)x x

ac=30 b=-11

-6, -5 -6 -5 = -11210 6 5 3x x x

2 (5 3) 1(5 3)x x x

Guided PracticeGuided Practice

• Factor• Factor 22 5 8x x

Answer: not factorable

ac=-16 b=-5

none ?

Got all that?Got all that?

Computer ActivityComputer Activity

• Get a laptop computer and type in the following url address

•http://www.bhs87.org/math/practice/Factor/FactorApplet.html

• Get a laptop computer and type in the following url address

•http://www.bhs87.org/math/practice/Factor/FactorApplet.html

Think Pair ShareThink Pair ShareGet with your partner and tell

them what each of the vocabulary means

Get with your partner and tell them what each of the

vocabulary means

Essential Question 5.2Essential Question 5.2

• How do you factor a polynomial?

• Can you determine a GCF?

• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor

• How do you factor a polynomial?

• Can you determine a GCF?

• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor

AssignmentAssignment

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