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Algebra 7 Point 6
 

Algebra 7 Point 6

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    Algebra 7 Point 6 Algebra 7 Point 6 Presentation Transcript

    • 7.6 Combined Types of Factoring
      Objective:
      • To factor polynomials completely
      • To factor polynomials by grouping terms
      Frameworks: 10.P.5
    • 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.
    • 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)
    • Factor 8y3 + 12x2 + 4x
    • Factor 6x3 + 14x2 + 8x
    • Factor 3x5 – 243x
    • Factor 2m2 – 20mn + 50n2
    • Factor 5x4y – 80x2y3
    • Factor 5x – 5y + ax - ay
    • Do p. 265 1-15