Graph the following polynomial.
f(x)=(x+3)^2(x-2)^2(x+5)
How would i graph ?
f(x)=(x+5)
hat is zero at
-3, -3 , 2 ,2 , -5
the double roots mean the curve just touches the axis at:
-3 and +2
when x is big positive, it is big positive
when x is big negative it is big negative
y = 180 when x = 0
so starts at lower left
crosses x axis at x=-5
goes up then dips down to just brush the x axis at x =-3
then goes up to top at x=0, y=180
then dips down again to touch but not cross x axis at x = +2
then zooms up toward upper right