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Determine the x intercepts of the function  y = x^2 - 2x - 24

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kristenmarieb... | Student, Grade 10

Posted June 22, 2013 at 3:48 AM via web

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Determine the x intercepts of the function  y = x^2 - 2x - 24

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 22, 2013 at 3:52 AM (Answer #1)

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The graph of a function f(x) intercepts the x-axis at the point (X, 0) where f(X) = 0

For the function y = x^2 - 2x - 24

x^2 - 2x - 24 = 0

=> x^2 - 6x + 4x - 24 = 0

=> x(x - 6) + 4(x - 6) = 0

=> (x + 4)(x - 6) = 0

=> x = -4 and x = 6

The x-intercepts of the function are (-4, 0) and 6, 0)

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