Question Number 128157 by naka3546 last updated on 04/Jan/21
![Let P(x) is monic polynomial function such that [P(2x)]^2 = P(4x) + 16P(x^2 ) P(x) = ?](https://www.tinkutara.com/question/Q128157.png)
$${Let}\:\:{P}\left({x}\right)\:\:{is}\:\:{monic}\:\:{polynomial}\:\:{function}\:\:{such}\:\:{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[{P}\left(\mathrm{2}{x}\right)\right]^{\mathrm{2}} \:=\:{P}\left(\mathrm{4}{x}\right)\:+\:\mathrm{16}{P}\left({x}^{\mathrm{2}} \right) \\ $$$${P}\left({x}\right)\:=\:\:? \\ $$