Write in Standard Form 8+5x-3x^2=4x+1

$8 + 5 x - 3 x^{2} = 4 x + 1$

Move all the expressions to the left side of the equation.

Subtract $4 x$ from both sides of the equation.

$8 + 5 x - 3 x^{2} - 4 x = 1$

Subtract $1$ from both sides of the equation.

$8 + 5 x - 3 x^{2} - 4 x - 1 = 0$

Simplify $8 + 5 x - 3 x^{2} - 4 x - 1$ .

Subtract $1$ from $8$ .

$5 x - 3 x^{2} - 4 x + 7 = 0$

Subtract $4 x$ from $5 x$ .

$- 3 x^{2} + x + 7 = 0$

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

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

The standard form is $- 3 x^{2} + x + 7$ .

$- 3 x^{2} + x + 7 = 0$