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Math Help - Estimating local maxima and minima and identifying multiplicity of factors #1

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    Estimating local maxima and minima and identifying multiplicity of factors #1

    estimate the local maxima and minima and identify the mulltiplicity of the factors.
    1) F(X)=X^2(x+2)^2(X-5)
    Last edited by mr fantastic; January 23rd 2010 at 03:07 AM. Reason: Changed post title
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    Your function f(x)=x^2(x+2)^2(x-5) has zeros at x= -2,-2,0,0,5

    Min and Max points can be found between these points. Also note x= -2,0 are repeated factors, do you know what this means?
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    pre calc

    no
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    Look at a graph of y= x and of y= x^2. Where there is a single root, the graph crosses the axis, so the function changes sign. Where there is a double root, the graph does not cross the graph and there is no change of sign.
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