91Ó°ÊÓ

A third-degree polynomial function \( f \) has real zeros \( -2 \), \( \dfrac{1}{2} \), and \( 3 \), d its leading coefficient is negative. Write an equation for \( f \).Sketch the graph of \( f \).How many different polynomial functions are possible for \( f \)?

Sketch the graph of a fifth-degree polynomial function whose leading coefficient is positive and that has a zero at \( x = 3 \) of multiplicity \( 2 \).