哈哈我找到出處了,原來是2007AIME的題目,點題號看網友的討論
http://www.mathlinks.ro/Forum/re ... id=45&year=2007
Let \( f(x) \) be a polynomial with real coefficients such that \( f(0)=1 \),\( f(2)+f(3)=125 \),and
for all x,\( f(x)f(2x^2)=f(2x^3+x) \).Find \( f(5) \).
考上之後越來越偷懶了,曾經準備過的題目居然認不出來
