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To subtract the polynomial \((9x - 5x^4 - 2x^2)\) from \((3x^4 - 8x^2 + 4x)\), we first rewrite the problem as follows:
\[
(3x^4 - 8x^2 + 4x) - (9x - 5x^4 - 2x^2)
\]
Next, we distribute the negative sign through the second polynomial:
\[
3x^4 - 8x^2 + 4x - 9x + 5x^4 + 2x^2
\]
Now, we can combine like terms:
1. Combine \(x^4\) terms: \(3x^4 + 5x^4 = 8x^4\)
2. Combine \(x^2\) terms: \(-8x^2 + 2x^2 = -6x^2\)
3. Combine \(x\) terms: \(4x - 9x = -5x\)
Putting it all together, we have:
\[
8x^4 - 6x^2 - 5x
\]
This polynomial is now in standard form. Therefore, the final result is:
\[
\boxed{8x^4 - 6x^2 - 5x}
\]