Posted by alli on Saturday, August 18, 2012 at 9:35pm.
find the following for the function
f(x)= (x+5)^2(x1)^2
a) find the x and y intercepts for the polynomial function f
b) determine whether the graph of f crosses or touches the x axis at each x intercept
C) put all information together to obtain the graph of f

algebra  Steve, Sunday, August 19, 2012 at 2:57pm
The xintercepts are the roots.
The yintercept is at 5^2*1^2 = 25
Since the roots are of even order, the graph touches the axis at each root.
So, degree4 polynomial with positive coefficient. Down from the left, tangent at each root, then back up to the right.