Write in Standard Form 2x-x^2=1

$2 x - x^{2} = 1$

Subtract $1$ from both sides of the equation.

$2 x - x^{2} - 1 = 0$

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

$a x^{2} + b x + c = 0$

Reorder $2 x$ and $- x^{2}$ .

$- x^{2} + 2 x - 1 = 0$