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8 May, 11:52

How many x intercepts appear on the graph of this polynomial function

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  1. 8 May, 13:11
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    The answerthe complement of the question is perhaps the functionf (x) = x4 - 5x2to find the value of x-intercepts, just egalize f (x) = x4 - 5x2 to 0, and solve the equation. that is x4 - 5x2 = 0 equivalent to x² (x²-5) = 0, this implies x²-5 = 0 and x²=0, it implies x=0 and x² = 5, which means x = + / - sqrt (5) so the x intercepts are x=0, x = - sqrt (5) and x = + sqrt (5)

    finally the answer is 3 x intercepts
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