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


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