Question

Answer 1

-Sửa đề: \(P\left(x\right)=x^{2010}-x^{2000}+1\)

\(P\left(x\right)=x^{2000}+x^{2010}+1=x^{2010}+x^{2009}+x^{2008}+x^{2007}+x^{2006}-x^{2009}-x^{2008}-x^{2007}-x^{2006}-x^{2005}+x^{2005}+x^{2004}+x^{2003}+x^{2002}+x^{2001}-x^{2004}-x^{2003}-x^{2002}-x^{2001}-x^{2000}+1\)

\(=x^{2006}\left(x^4+x^3+x^2+x+1\right)-x^{2005}\left(x^4+x^3+x^2+x+1\right)+x^{2001}\left(x^4+x^3+x^2+x+1\right)-x^{2000}\left(x^4+x^3+x^2+x+1\right)+1=1\)