Answer
See the explanation
Work Step by Step
$A=2000(1+r)^3$
a. $A=2000(1+r)^3=2000(r^3+3r^2+3r+1)=2000r^3+6000r^2+6000r+2000,$ polynomial of degree 3.
b.
$\begin{array}{lll}
Interest-rate & Amount-A\\
r_1=2\%&A_1=2122.45\\
r_2=3\%&A_2=2185.45\\
r_3=4.5\%&A_3=2282.33\\
r_4=6\%&A_4=2382.03\\
r_5=10\%&A_5=2662.00
\end{array}$