ANSWER
See explanation
EXPLANATION
The given polynomial is
[tex] \frac{2 {x}^{2} - 4 {x}^{3} + 6}{3} [/tex]
The standard form is obtained by rewriting the polynomial in descending powers of x.
[tex]\frac{ - 4 {x}^{3} + 2 {x}^{2}+ 6}{3} [/tex]
The standard form is
[tex] - \frac{4}{3} {x}^{3} + \frac{2}{3} {x}^{2} + 2[/tex]
The highest degree is 3, we classify it as a cubic polynomial.
The polynomial has three terms so we classify it as a trinomial.
