Write in Standard Form y=6-2x-4x^2+5x^3

$y = 6 - 2 x - 4 x^{2} + 5 x^{3}$

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

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

Move $6$ .

$y = - 2 x - 4 x^{2} + 5 x^{3} + 6$

Move $- 2 x$ .

$y = - 4 x^{2} + 5 x^{3} - 2 x + 6$

Reorder $- 4 x^{2}$ and $5 x^{3}$ .

$y = 5 x^{3} - 4 x^{2} - 2 x + 6$