ANSWER
See explanation
Step-by-step explanation
The given polynomial is
![\frac{2 {x}^(2) - 4 {x}^(3) + 6}{3}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6yfnhrz2karlu63hnffm1q1hnemiepfqvz.png)
The standard form is obtained by rewriting the polynomial in descending powers of x.
![\frac{ - 4 {x}^(3) + 2 {x}^(2)+ 6}{3}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wiqn90otrvn3aj26q2q3vynn9zamqkqtpo.png)
The standard form is
![- (4)/(3) {x}^(3) + (2)/(3) {x}^(2) + 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/itn26fi0bpf4ggg8l9r0zbhv0pdp4bhhpb.png)
The highest degree is 3, we classify it as a cubic polynomial.
The polynomial has three terms so we classify it as a trinomial.