Answer
(a) $x=2$ (multiplicity 3) .
(b) crosses the x-axis at $x=2$.
(c) $4$.
(d) $y=4x^5$.
Work Step by Step
(a) Given $f(x)=4(x^2+1)(x-2)^3$, we can find zeros $x=2$ (multiplicity 3) .
(b) The graph crosses the x-axis at $x=2$.
(c) The maximum number of turning points on the graph is $n-1=5-1=4$.
(d) The end behavior is similar to those of $y=4x^5$.
