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5-11 Using several methods to factor Objective to factor completely. Objective to factor completely. Guidelines: Guidelines: 1. Factor out the greatest monomial factor first. first.

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5-11 Using several methods to factor Objective to factor completely. Objective to factor completely. Guidelines: Guidelines: 1. Factor out the greatest monomial factor first. first. 2. Look for difference of squares

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5-11 Using several methods to factor Objective to factor completely. Objective to factor completely. Guidelines: Guidelines: 1. Factor out the greatest monomial factor first. first. 2. Look for difference of squares 3. Look for perfect square trinomial

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5-11 Using several methods to factor Objective to factor completely. Objective to factor completely. Guidelines: Guidelines: 1. Factor out the greatest monomial factor first. first. 2. Look for difference of squares 3. Look for perfect square trinomial 4. Look for a pair of binomial factors

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5-11 Using several methods to factor Objective to factor completely. Objective to factor completely. Guidelines: Guidelines: 1. Factor out the greatest monomial factor first. first. 2. Look for difference of squares 3. Look for perfect square trinomial 4. Look for a pair of binomial factors 5. Make sure that each factor is prime

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5-11 Using several methods to factor Example 1: Factor Completely -4n 4 + 40n 3 - 100n 2 -4n 4 + 40n 3 - 100n 2 -4n 2 (n 2 - 10n + 25) -4n 2 (n – 5)(n – 5) DONE Foil then distribute to check. -4n 2 (n – 5)(n – 5) DONE Foil then distribute to check.

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5-11 Using several methods to factor Example 2: Factor Completely 5a 3 b 2 + 3a 4 b – 2a 2 b 3 5a 3 b 2 + 3a 4 b – 2a 2 b 3 In common first then factor a 2 b(5ab +3a 2 - 2b 2 ) a 2 b(- 2b 2 + 5ab +3a 2 ) -a 2 b(2b 2 - 5ab - 3a 2 ) -a 2 b(2b + a)(b - 3a) done

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5-11 Using several methods to factor Homework p. 228 #7, 8, 9, 10, 11, 43 p. 232 # 10, 14, 16, 19, 29 # 10, 14, 16, 19, 29

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EXAMPLE 3 Factor by grouping Factor the polynomial x 3 – 3x 2 – 16x + 48 completely. x 3 – 3x 2 – 16x + 48 Factor by grouping. = (x 2 – 16)(x – 3) Distributive.

EXAMPLE 3 Factor by grouping Factor the polynomial x 3 – 3x 2 – 16x + 48 completely. x 3 – 3x 2 – 16x + 48 Factor by grouping. = (x 2 – 16)(x – 3) Distributive.

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