Use the given information about the polynomial graph to write the equation of polynomial function.
a) Degree \( 3 \) . Zeros at \( x = - 2 , x = 1 \) , and \( x = 3 \) .
b) Degree \( 5 \) . Zeros of multiplicity \( 2 \) at \( x = 3 \) and \( x = 1 \) , and zero of multiplicity \( 1 \) at \( x = - 3 \) .
c) Degree \( 4 . \) Zero of multiplicity \( 2 \) at \( x = 4 \) , and zeros of multiplicity \( 1 \) at \( x = 1 \) and \( x = - 2 \) . Y-intercept at \( ( 0 , - 3 ) \) .