Step 1 A. Standard form of polynomial-

Standard form of polynomial is written with highest degree term as first term, second highest degree term as second term and so on.

For the given polynomial, the standard form is-

\(\displaystyle{x}^{{{5}}}+{2}{x}^{{{3}}}-{3}{x}^{{{2}}}\)

Step 2 B. Check whether correct or not-

Trinomial is a type of polynomial which has 3 terms.

The given polynomial is a trinomial as it has 3 terms, i.e.,

\(\displaystyle{x}^{{{5}}}-{1}-{s}{t}\) term

\(\displaystyle{2}{x}^{{{3}}}-{2}-{n}{d}\) term

\(\displaystyle{3}{x}^{{{2}}}-{3}-{r}{d}\) term

Step 3 C. Quintic polynomial-

The polynomials having degree 5th are known as quintic polynomials.

Since, the polynomial \(\displaystyle{x}^{{{5}}}+{2}{x}^{{{3}}}-{3}{x}^{{{2}}}\) have degree \(\displaystyle={5}\)

Hence, it is quintic polynomial.

Step 4 D. Linear term-

Linear term is term which have degree \(\displaystyle={1}\).

Since, the polynomial \(\displaystyle{x}^{{{5}}}+{2}{x}^{{{3}}}-{3}{x}^{{{2}}}\) has no term having 5th degree, hence the statement is not correct.

Standard form of polynomial is written with highest degree term as first term, second highest degree term as second term and so on.

For the given polynomial, the standard form is-

\(\displaystyle{x}^{{{5}}}+{2}{x}^{{{3}}}-{3}{x}^{{{2}}}\)

Step 2 B. Check whether correct or not-

Trinomial is a type of polynomial which has 3 terms.

The given polynomial is a trinomial as it has 3 terms, i.e.,

\(\displaystyle{x}^{{{5}}}-{1}-{s}{t}\) term

\(\displaystyle{2}{x}^{{{3}}}-{2}-{n}{d}\) term

\(\displaystyle{3}{x}^{{{2}}}-{3}-{r}{d}\) term

Step 3 C. Quintic polynomial-

The polynomials having degree 5th are known as quintic polynomials.

Since, the polynomial \(\displaystyle{x}^{{{5}}}+{2}{x}^{{{3}}}-{3}{x}^{{{2}}}\) have degree \(\displaystyle={5}\)

Hence, it is quintic polynomial.

Step 4 D. Linear term-

Linear term is term which have degree \(\displaystyle={1}\).

Since, the polynomial \(\displaystyle{x}^{{{5}}}+{2}{x}^{{{3}}}-{3}{x}^{{{2}}}\) has no term having 5th degree, hence the statement is not correct.