Respuesta :

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.