Step 1

Consider the poynomial.

\(\displaystyle{18}{x}^{{{3}}}+{36}{x}^{{{9}}}-{7}{x}+{3}\)

Since, the terms are saparated by addition signs, the terms are listed as follows:

\(\displaystyle{18}{x}^{{{3}}},\ {36}{x}^{{{9}}},\ -{7}{x}\) and 3

Thus, the terms of the polynomial

\(\displaystyle{18}{x}^{{{3}}}+{36}{x}^{{{9}}}-{7}{x}+{3}\) are \(\displaystyle{18}{x}^{{{3}}},\ {36}{x}^{{{9}}},\ -{7}{x}\) and 3.

The coefficients of each term of the polynomial

\(\displaystyle{18}{x}^{{{3}}}+{36}{x}^{{{9}}}-{7}{x}+{3}\) are \(\displaystyle{18},\ {36},\ -{7}\) and 3.

The degree of each term of the polynomial \(\displaystyle{18}{x}^{{{3}}}+{36}{x}^{{{9}}}-{7}{x}+{3}\) add \(3,\ 9,\ 1,\) and 0.

The degree of the polynomial \(\displaystyle{18}{x}^{{{3}}}+{36}{x}^{{{9}}}-{7}{x}+{3}\) is 9.