question is in the picture.

Answer:
[tex]-4x^{4} + 2x^{2} + 6x + 3[/tex]
Step-by-step explanation:
We have given a polynomial in this question. The standard form of a polynomial is to write the terms of polynomial with the decreasing degree of order.
Polynomial [tex]2x^{2} - 4x^{4} + 3 + 6x[/tex] has got 4 terms. The degrees correspondingly are:
[tex]2x^{2}[/tex] = 2
[tex]-4x^{4}[/tex] = 4
[tex]3[/tex] = 0
[tex]6x[/tex] = 1
Then, the polynomial must be written in this form:
[tex]-4x^{4} + 2x^{2} + 6x + 3[/tex]
The correct option is the first one.