Write in Standard Form 27x^3+27/2x^2+9/4x+1/8

$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$

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

$a x^{2} + b x + c$

Simplify each term.

Combine $\frac{27}{2}$ and $x^{2}$ .

$27 x^{3} + \frac{27 x^{2}}{2} + \frac{9}{4} x + \frac{1}{8}$

Combine $\frac{9}{4}$ and $x$ .

$27 x^{3} + \frac{27 x^{2}}{2} + \frac{9 x}{4} + \frac{1}{8}$

Reorder terms.

$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$