Write in Standard Form 9-x^2+1/6x

$9 - x^{2} + \frac{1}{6} x$

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

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

Combine $\frac{1}{6}$ and $x$ .

$9 - x^{2} + \frac{x}{6}$

Move $9$ .

$- x^{2} + \frac{x}{6} + 9$

Reorder terms.

$- x^{2} + \frac{1}{6} x + 9$