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; Jan 23rd 2010 at 02:07 AM. Reason: Changed post title
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Your function $\displaystyle f(x)=x^2(x+2)^2(x-5)$ has zeros at $\displaystyle x= -2,-2,0,0,5$ Min and Max points can be found between these points. Also note $\displaystyle x= -2,0$ are repeated factors, do you know what this means?
no
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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