Write in Standard Form 4x^2-6x^6+2x^3+12-5x^3+4x^4

$4 x^{2} - 6 x^{6} + 2 x^{3} + 12 - 5 x^{3} + 4 x^{4}$

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

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

Subtract $5 x^{3}$ from $2 x^{3}$ .

$4 x^{2} - 6 x^{6} - 3 x^{3} + 12 + 4 x^{4}$

Reorder.

Move $12$ .

$4 x^{2} - 6 x^{6} - 3 x^{3} + 4 x^{4} + 12$

Move $4 x^{2}$ .

$- 6 x^{6} - 3 x^{3} + 4 x^{4} + 4 x^{2} + 12$

Move $- 3 x^{3}$ .

$- 6 x^{6} + 4 x^{4} - 3 x^{3} + 4 x^{2} + 12$