Study the following expressions and answer the questions that follow: 5, 0, and p(x)=7−0x2+5x4.
(i) Distinguish between a constant polynomial and the zero polynomial.
(ii) Explain why the degree of p(x)=7−0x2+5x4 is 4 even though the coefficient of x2 is zero.
(iii) Give two reasons to justify why the degree of the zero polynomial is considered undefined.