Answer
a) 3rd degree polynomial; negative leading coefficient
b)4th degree polynomial; positive leading coefficient
c)2nd degree polynomial; negative leading coefficient
d)5th degree polynomial; positive leading coefficient
Work Step by Step
The degree of a polynomial is the number of extrema plus 1. If a graph goes to positive infinity as x goes to positive infinity, then the leading coefficient is positive. If a graph goes to negative infinity as a goes to positive infinity, then the leading coefficient is negative.