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Lesson 1.3  General Factoring Summary Section 6.6
Lesson Objectives Students will learn to recognize how to factor polynomials using the appropriate factoring strategy Students will recognize the special factoring patterns that apply to difference of two squares and to trinomials
Factoring StrategyFirst step Step 1:  Factor out the GCF The GCF is the greatest common factor.   The GCF can be a number, or variables, or common group
Factoring StrategySecond Step-How many Terms does it have? For 2 terms Is it a difference of two squares? a2 – b2 = (a + b) (a – b)  Remember that a2 + b2 is prime! Is it a sum or difference of two cubes? a3 + b3 a3– b3 Use the SOAP method to factor!
Factoring StrategySecond Step-How many Terms does it have? For 3 terms For trinomials that fit the pattern: ax2 + bx + c Factor these using the AC-method of factoring
Factoring StrategySecond Step-How many Terms does it have? For 4 terms For polynomials consisting of 4 terms, Factor by Grouping
Lesson 1.3 general factoring summary

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Lesson 1.3 general factoring summary

  • 1. Lesson 1.3 General Factoring Summary Section 6.6
  • 2. Lesson Objectives Students will learn to recognize how to factor polynomials using the appropriate factoring strategy Students will recognize the special factoring patterns that apply to difference of two squares and to trinomials
  • 3. Factoring StrategyFirst step Step 1: Factor out the GCF The GCF is the greatest common factor. The GCF can be a number, or variables, or common group
  • 4. Factoring StrategySecond Step-How many Terms does it have? For 2 terms Is it a difference of two squares? a2 – b2 = (a + b) (a – b) Remember that a2 + b2 is prime! Is it a sum or difference of two cubes? a3 + b3 a3– b3 Use the SOAP method to factor!
  • 5. Factoring StrategySecond Step-How many Terms does it have? For 3 terms For trinomials that fit the pattern: ax2 + bx + c Factor these using the AC-method of factoring
  • 6. Factoring StrategySecond Step-How many Terms does it have? For 4 terms For polynomials consisting of 4 terms, Factor by Grouping