At which root does the graph of f(x) = (x - 5)(x + 2)2 touch the x-axis?

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08-02-2020
Mathematics

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At which root does the graph of f(x) = (x - 5)(x + 2)2 touch the x-axis?

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maggie3772 maggie3772 · Answer 1 · 2020-02-08T17:51:21+01:00

maggie3772 maggie3772

08-02-2020

To find the roots of a factored function, set each factor equal to 0. x-5=0, x+2=0, and 2=0. x = 5, x = -2, and x = no solution (2 does not equal 0, so there is not a root at 2). So your final answer is at x = 5 and x = -2.

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