To rewrite the polynomial \( x + 9 - 7x^3 - x^4 \) in standard form, we want to organize it in descending order of the powers of \( x \).
Starting with the polynomial:
\[ -x^4 - 7x^3 + x + 9 \]
Now we arrange the terms by their degrees:
\[ -x^4 - 7x^3 + 0x^2 + x + 9 \]
The standard form of the polynomial is:
\[ -x^4 - 7x^3 + x + 9 \]
Thus, the final answer is:
\[ -x^4 - 7x^3 + x + 9 \]