Let P(x) is monic polynomial function such that [P(2x)]^2 = P(4x) + 16P(x^2 ) P(x) = ?


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Question Number 128157 by naka3546 last updated on 04/Jan/21

$L e t P (x) i s m o n i c p o l y n o m i a l f u n c t i o n s u c h t h a t$ ${[P (2 x)]}^{2} = P (4 x) + 16 P (x^{2})$ $P (x) = ?$
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