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Find the polynomial  \(p(x),\)  with real coefficients, such that  \(p(x^3) - p(x^3 - 2) = [p(x)]^2 + 12 \)
for all real numbers \(x.\)

 Nov 18, 2019
 #1
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Find the polynomial \(p(x)\), with real coefficients, such that  \(p(x^3) - p(x^3 - 2) = [p(x)]^2 + 12\)
for all real numbers \(x\).

 

\(p(x) = 6x^3-6\)

 

laugh

 Nov 18, 2019
 #2
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PLEASE do not post AoPS homework problems on this forum. If you need help, use the online message board, as posting questions on this forum is violating their code of conduct.

 Nov 18, 2019

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