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Algebra 7 Point 3
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Algebra 7 Point 3

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Transcript

  • 1. 7.3 Factoring Trinomials
    Objective:
    • To factor trinomials of the form x2 + bx + c
    Frameworks: 10.P.5
  • 2.
  • 3. FOIL With a Negative and a Positive
    (x - 3)(x + 5)
    First terms: x and x x2
    Outside terms: x and 5 +5x
    Inside terms: 3 and x -3x
    Last terms: 3 and 5 15
    Answer: x2 + 2x - 15
  • 4. FOIL With a Negative and a Positive
    (x + 3)(x - 5)
    First terms: x and x x2
    Outside terms: x and 5 -5x
    Inside terms: 3 and x +3x
    Last terms: 3 and 5 15
    Answer: x2 - 2x - 15
  • 5. Factoring
    The product of 2 binomials is usually a trinomial:
    (x + 3)(x – 2) = x2 + x - 6
    To factor a trinomial means to express it as a product of two binomials.
    To factor x2 + x – 6
    is to rewrite it as (x + 3)(x – 2)
  • 6. Signs Flowchart
  • 7. Factoring
    To solve this, we use FOIL in reverse:
    x2 + x – 6 = (x )(x )
    Now look at the signs:
    x2 + x – 6 = (x + )(x - )
    Then guess & check to find the last 2 numbers, remembering that the two terms multiplied are -6 and added are + 1
    x2 + x – 6 = (x + )(x - )
  • 8. Factoring
    Solve:
    x2 - 2x – 48 = (x )(x )
    Now look at the signs:
    x2 -2x – 48 = (x + )(x - )
    Guess & check:
    x2 -2x – 48 = (x + )(x - )
  • 9. Factor x2 - 13x + 40
  • 10. Factor x2 + 11x + 24
  • 11. Factor x2 - 15x + 56
  • 12. Factor x2 - x - 20
  • 13. Factor x2 - 2x - 24
  • 14. Do p. 254 1-12