5-11 Using several methods to 5-11 Using several methods to factorfactor

Objective to factor completely.Objective to factor completely. Guidelines:Guidelines:

1. Factor out the greatest monomial factor 1. Factor out the greatest monomial factor

first.first.

5-11 Using several methods to 5-11 Using several methods to factorfactor

Objective to factor completely.Objective to factor completely. Guidelines:Guidelines:

1. Factor out the greatest monomial factor 1. Factor out the greatest monomial factor

first.first.

2. Look for difference of squares2. Look for difference of squares

5-11 Using several methods to 5-11 Using several methods to factorfactor

Objective to factor completely.Objective to factor completely. Guidelines:Guidelines:

1. Factor out the greatest monomial factor 1. Factor out the greatest monomial factor

first.first.

2. Look for difference of squares2. Look for difference of squares

3. Look for perfect square trinomial3. Look for perfect square trinomial

5-11 Using several methods to 5-11 Using several methods to factorfactor

Objective to factor completely.Objective to factor completely. Guidelines:Guidelines:

1. Factor out the greatest monomial factor 1. Factor out the greatest monomial factor

first.first.

2. Look for difference of squares2. Look for difference of squares

3. Look for perfect square trinomial3. Look for perfect square trinomial

4. Look for a pair of binomial factors4. Look for a pair of binomial factors

5-11 Using several methods to 5-11 Using several methods to factorfactor

Objective to factor completely.Objective to factor completely. Guidelines:Guidelines:1. Factor out the greatest monomial factor 1. Factor out the greatest monomial factor first.first.2. Look for difference of squares2. Look for difference of squares3. Look for perfect square trinomial3. Look for perfect square trinomial4. Look for a pair of binomial factors4. Look for a pair of binomial factors5. Make sure that each factor is prime5. Make sure that each factor is prime

5-11 Using several methods to 5-11 Using several methods to factorfactor

Example 1: Factor CompletelyExample 1: Factor Completely

-4n-4n44 + 40n + 40n33 - 100n - 100n22 -4n-4n22 (n (n2 2 - 10n + 25)- 10n + 25) -4n-4n22 (n (n – 5)(n – 5) DONE Foil then distribute – 5)(n – 5) DONE Foil then distribute

to check.to check.

5-11 Using several methods to 5-11 Using several methods to factorfactor

Example 2: Factor CompletelyExample 2: Factor Completely

5a5a33bb22 + 3a + 3a44b – 2ab – 2a22bb33 In common first then factorIn common first then factor

aa22b(5ab +3ab(5ab +3a22 - 2b - 2b22))

aa22b(- 2bb(- 2b2 +2 +5ab +3a5ab +3a22))

-a-a22b(2bb(2b2 2 - 5ab - 3a- 5ab - 3a22))

-a-a22b(2bb(2b + a)(b - 3a) done+ a)(b - 3a) done

5-11 Using several methods to 5-11 Using several methods to factorfactor

Homework Homework

p. 228p. 228

#7, 8, 9, 10, 11, 43#7, 8, 9, 10, 11, 43

p. 232p. 232

# 10, 14, 16, 19, 29# 10, 14, 16, 19, 29