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Factor:      x2 + 7x + 10    = (x + 2)(x + 5) Multiply:      (x + 2)(x + 5)  = x2 + 5x + 2x + 10 = x2+ 7x + 10 1·10 2·5 F L O I I L F O F O I L
Factor (        )(        ) x + 2   x + 1 (        )(        ) x + 4   x + 3 Example 3-1a
Factor (        )(        ) x – 2   x – 8   (        )(        ) x – 9   x – 3   Example 3-1a
Factor (x + 5)(x – 1) (x + 6)(x – 3) Example 3-1a
Factor (x + 4)(x – 5) (x + 3)(x – 8) Example 3-1a
Solve      Check your solutions. or Check -5: (-5)2+ 2(-5) = 15 25 – 10 = 15 15 = 15 Check 3: (3)2 + 2(3) = 15 9 + 6 = 15 15 = 15 -15    -15 -5    -5 +3    +3 Example 3-5a
Solve       Check your solutions. Check 5: (5)2 – 20 = 5 25 – 20 = 5 5 = 5 Check -4: (-4)2 – 20  = -4 16 – 20 = -4 -4 = -4 -x         -x x2 – x – 20 = 0  (x – 5)(x + 4) = 0 x – 5 = 0   or   x + 4 = 0 +5    +5            - 4    - 4 x = 5               x = -4 Example 3-5b
      Check your solutions. Solve 10 + x2 = – 7x +7x      +7x Check -5: 10 + (-5)2 = –7(-5)  10 + 25 = 35 35 = 35 Check -2: 10 +(-2)2 = –7(-2) 10 + 4 = 14 14 = 14 x2 + 7x + 10 = 0  (x + 5)(x + 2) = 0 x + 5 = 0   or   x + 2 = 0   -5    -5            - 2    - 2 x = -5               x = -2 Example 3-5b

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Alg1 lesson 9-3

  • 1. Factor: x2 + 7x + 10 = (x + 2)(x + 5) Multiply: (x + 2)(x + 5) = x2 + 5x + 2x + 10 = x2+ 7x + 10 1·10 2·5 F L O I I L F O F O I L
  • 2. Factor ( )( ) x + 2 x + 1 ( )( ) x + 4 x + 3 Example 3-1a
  • 3. Factor ( )( ) x – 2 x – 8 ( )( ) x – 9 x – 3 Example 3-1a
  • 4. Factor (x + 5)(x – 1) (x + 6)(x – 3) Example 3-1a
  • 5. Factor (x + 4)(x – 5) (x + 3)(x – 8) Example 3-1a
  • 6. Solve Check your solutions. or Check -5: (-5)2+ 2(-5) = 15 25 – 10 = 15 15 = 15 Check 3: (3)2 + 2(3) = 15 9 + 6 = 15 15 = 15 -15 -15 -5 -5 +3 +3 Example 3-5a
  • 7. Solve Check your solutions. Check 5: (5)2 – 20 = 5 25 – 20 = 5 5 = 5 Check -4: (-4)2 – 20 = -4 16 – 20 = -4 -4 = -4 -x -x x2 – x – 20 = 0 (x – 5)(x + 4) = 0 x – 5 = 0 or x + 4 = 0 +5 +5 - 4 - 4 x = 5 x = -4 Example 3-5b
  • 8. Check your solutions. Solve 10 + x2 = – 7x +7x +7x Check -5: 10 + (-5)2 = –7(-5) 10 + 25 = 35 35 = 35 Check -2: 10 +(-2)2 = –7(-2) 10 + 4 = 14 14 = 14 x2 + 7x + 10 = 0 (x + 5)(x + 2) = 0 x + 5 = 0 or x + 2 = 0 -5 -5 - 2 - 2 x = -5 x = -2 Example 3-5b