Chapter 6, Problem 15CR

(a) Find a polynomial function of degree $3$ whose y-intercept is $5$ and whose x-intercepts are $-2$, $3$ and $5$. Graph the function.

(b) Find a rational function whose y-intercept $5$ and whose x-intercepts are $-2$, $3$ and $5$ that has the line $x=2$ as a vertical asymptote. Graph the function.