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Algebra 7 Point 6
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Algebra 7 Point 6

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Transcript

  • 1. 7.6 Combined Types of Factoring
    Objective:
    • To factor polynomials completely
    • 2. To factor polynomials by grouping terms
    Frameworks: 10.P.5
  • 3. The polynomial 3x2 - 27
    can be factored in 2 steps:
    3x2 – 27 = 3(x2 – 9)
    = 3(x + 3)(x – 3)
    When a polynomial is factored into irreducible polynomials that have no common factor, then it is factored completely.
  • 4. Steps in factoring completely:
    1. Look for the GCF
    2. Look for special cases.
    difference of two squares
    perfect square trinomial
    3. If a trinomial is not a perfect square, look for two different binomial factors.
    8t4 – 32t3 + 40t
    = 8t(t3 - 4t + 5)
    4x2 – 9y2 = (2x)2 – (3y)2
    x2 + 8x + 16 = x2 + 8x + 42
    = (x + 4)2
    6x2 + 11x – 10
    = (2x + 5)(3x – 2)
  • 5. Factor 8y3 + 12x2 + 4x
  • 6. Factor 6x3 + 14x2 + 8x
  • 7. Factor 3x5 – 243x
  • 8. Factor 2m2 – 20mn + 50n2
  • 9. Factor 5x4y – 80x2y3
  • 10. Factor 5x – 5y + ax - ay
  • 11. Do p. 265 1-15

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