Give the name (monomial, binomial, trinomial, etc.) and the degree of the polynomial. \[ \begin{array}{c} 3 x^{3}+x^{2}+x \\ \text { Name }=[?] \\ \text { Degree }=[ \end{array} \]

Step 1 ：The given polynomial has three terms: 3x^3, x^2, and x.

Step 2 ：Therefore, the name of the polynomial is trinomial.

Step 3 ：To find the degree of the polynomial, we identify the term with the highest exponent, which is 3x^3.

Step 4 ：Therefore, the degree of the polynomial is 3.

Step 5 ：\(\boxed{\text{The name of the polynomial is trinomial and the degree is 3.}}\)