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A.5 Day 4 Factor by Grouping 1 August 29, 2008 Aug 1 11:07 AM Factoring by Grouping Objective: Solve equations by factoring.

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Page 1: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

1

August 29, 2008

Aug 1 ­ 11:07 AM

Factoring by Grouping

Objective: Solve equations by factoring.

Page 2: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

2

August 29, 2008

Aug 1 ­ 11:07 AM

Quadratic equations are equations such as

A quadratic equation is an equation equivalent to one of the formwhere a, b, and c are real numbers and

Quadratics are second­degree equations because the largest exponent is a 2.

Page 3: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

3

August 29, 2008

Aug 1 ­ 11:07 AM

Solve

The solution set is

or

Page 4: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

4

August 29, 2008

Aug 1 ­ 11:07 AM

Polynomial equations are equations such as

The degree of a polynomial is determined by the largest exponent.

x3 + 2x2 ­ x + 5 = 0 ,    x5 + 6x2 ­ 9 = 0 ,    x2 ­ x = 0

A polynomial equation is an equation that is constructed from one or more variables and constants, using only the operations of addition, subtraction, multiplication, and constant positive whole number exponents.

Page 5: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

5

August 29, 2008

Aug 1 ­ 11:07 AM

Factoring when you have four terms

Solve

The solution set is

What do the first two terms have in common?

Factor out (x­1) from both terms.

Factor the quadratic.

Page 6: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

6

August 29, 2008

Aug 1 ­ 11:07 AM

Solve x3 + 3x2 ­ x ­ 3 = 0

Page 7: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

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August 29, 2008

Aug 1 ­ 11:07 AM

Hmwk: page 998 (88 ­ 92)&

Factoring 1/2 sheet

Page 8: Factoring by Grouping - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus...Factoring by Grouping Objective: Solve equations by factoring. A.5 Day 4 Factor

A.5 Day 4 ­ Factor by Grouping

8

August 29, 2008

Aug 1 ­ 11:07 AM