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Objectives: Be able to list the four rules of factoring trinomials.

Objectives: Be able to list the four rules of factoring trinomials. Be able to factor a trinomial that has a leading co-efficient of one. Critical Vocabulary: Polynomial, Trinomial, Factor. I. Factoring Rules for trinomials:. 1. ax 2 + bx + c =. ( ___ + ___ ) ( ___ + ___ ).

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Objectives: Be able to list the four rules of factoring trinomials.

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  1. Objectives: • Be able to list the four rules of factoring trinomials. • Be able to factor a trinomial that has a leading co-efficient of one. Critical Vocabulary: Polynomial, Trinomial, Factor

  2. I. Factoring Rules for trinomials: 1. ax2 + bx + c = ( ___ + ___ ) ( ___ + ___ ) 2. ax2 - bx + c = ( ___ - ___ ) ( ___ - ___ ) 3. ax2 + bx - c = ( ___ + ___ ) ( ___ - ___ ) 4. ax2 - bx - c = ( ___ + ___ ) ( ___ - ___ ) II Examples: x 5 x 5 1. Factor x2 + 10x + 25 ( ___ + ___ ) ( ___ + ___ ) 1st: What two terms multiply to give you x2? 2nd: What two numbers multiply to give you 25, and add to give you 10? x 5 3rd: Check solution (FOIL) x x2 5x Answer: x2 + 10x + 25 5 5x 25

  3. I. Factoring Rules for trinomials: 1. ax2 + bx + c = ( ___ + ___ ) ( ___ + ___ ) 2. ax2 - bx + c = ( ___ - ___ ) ( ___ - ___ ) 3. ax2 + bx - c = ( ___ + ___ ) ( ___ - ___ ) 4. ax2 - bx - c = ( ___ + ___ ) ( ___ - ___ ) II Examples: x 9 x 9 2. Factor x2 - 18x + 81 ( ___ - ___ ) ( ___ - ___ ) 1st: What two terms multiply to give you x2? 2nd: What two numbers multiply to give you 81, and add to give you 18? x -9 3rd: Check solution (FOIL) x x2 -9x Answer: x2 - 18x + 81 -9 -9x 81

  4. I. Factoring Rules for trinomials: 1. ax2 + bx + c = ( ___ + ___ ) ( ___ + ___ ) 2. ax2 - bx + c = ( ___ - ___ ) ( ___ - ___ ) 3. ax2 + bx - c = ( ___ + ___ ) ( ___ - ___ ) 4. ax2 - bx - c = ( ___ + ___ ) ( ___ - ___ ) II Examples: x 9 x 3 3. Factor x2 - 12x + 27 ( ___ - ___ ) ( ___ - ___ ) 1st: What two terms multiply to give you x2? 2nd: What two numbers multiply to give you 27, and add to give you 12? x -9 3rd: Check solution (FOIL) x x2 -9x Answer: x2 - 12x + 27 -3 -3x 27

  5. I. Factoring Rules for trinomials: 1. ax2 + bx + c = ( ___ + ___ ) ( ___ + ___ ) 2. ax2 - bx + c = ( ___ - ___ ) ( ___ - ___ ) 3. ax2 + bx - c = ( ___ + ___ ) ( ___ - ___ ) 4. ax2 - bx - c = ( ___ + ___ ) ( ___ - ___ ) II Examples: x 8 x 5 4. Factor x2 + 3x - 40 ( ___ + ___ ) ( ___ - ___ ) 1st: What two terms multiply to give you x2? 2nd: What two numbers multiply to give you -40, and add to give you 3? x 8 3rd: Check solution (FOIL) x x2 8x Answer: x2 + 3x - 40 -5 -5x -40

  6. I. Factoring Rules for trinomials: 1. ax2 + bx + c = ( ___ + ___ ) ( ___ + ___ ) 2. ax2 - bx + c = ( ___ - ___ ) ( ___ - ___ ) 3. ax2 + bx - c = ( ___ + ___ ) ( ___ - ___ ) 4. ax2 - bx - c = ( ___ + ___ ) ( ___ - ___ ) II Examples: x 4 x 9 5. Factor x2 - 5x - 36 ( ___ + ___ ) ( ___ - ___ ) 1st: What two terms multiply to give you x2? 2nd: What two numbers multiply to give you -36, and add to give you -5? x 4 3rd: Check solution (FOIL) x x2 4x Answer: x2 - 5x - 36 -9 -9x -36

  7. Worksheet 72 • “Factoring Trinomials”

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