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

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

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

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

Move $4 x$ .

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

Move $3 x^{2}$ .

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

Reorder $- 5 x^{3}$ and $8 x^{4}$ .

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