Write in Standard Form f(x)=-2/3x^3-8x^4-2x+7

$f (x) = - \frac{2}{3} x^{3} - 8 x^{4} - 2 x + 7$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$f (x) = a x^{2} + b x + c$

Simplify each term.

Combine $x^{3}$ and $\frac{2}{3}$ .

$f (x) = - \frac{x^{3} \cdot 2}{3} - 8 x^{4} - 2 x + 7$

Move $2$ to the left of $x^{3}$ .

$f (x) = - \frac{2 x^{3}}{3} - 8 x^{4} - 2 x + 7$

Reorder $- \frac{2 x^{3}}{3}$ and $- 8 x^{4}$ .

$f (x) = - 8 x^{4} - \frac{2 x^{3}}{3} - 2 x + 7$

Reorder terms.

$f (x) = - 8 x^{4} - (\frac{2}{3} x^{3}) - 2 x + 7$

Remove parentheses.

$f (x) = - 8 x^{4} - \frac{2}{3} x^{3} - 2 x + 7$