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

1. ## 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)

2. 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?

3. ## pre calc

no

4. 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.