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Factoring Quadratics

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  • Factor 49x^2 - 81
    (7x + 9)(7x - 9)
  • Factor y^2 - 16y + 39
    (y - 13)(y - 3)
  • Factor 100 - 9x^2
    (10 + 3x)(10 - 3x)
  • Factor x^2 + x - 42
    (x + 7)(x - 6)
  • Solve by factoring: x^2 - 4x - 30 = 3x
    {-3, 10}
  • Factor z^2 - 1
    (z + 1)(z - 1)
  • Factor x^2 - 25
    (x - 5)(x + 5)
  • Factor -3x^2 + 6x + 9
    -3(x + 1)(x - 3)
  • Solve by factoring: n^2 - 8n + 1 = 1
    {0, 8}
  • What property makes it possible to solve quadratic equations using factoring?
    Zero Product Property
  • Solve by factoring: x^2 - 8x - 1 = -8x + 3
    {-2, 2}
  • Solve by factoring: 5x^2 + 21x + 11 = 7
    {-1/5, -4}
  • Factor 5x^2 - 20x - 60
    5(x + 2)(x - 6)
  • Factor x^2 - 11x + 30
    (x - 6)(x - 5)
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