Ta có : \(x^5+x^3+x^2+1=x^2\left(x^3+1\right)+\left(x^3+1\right)=\left(x^2+1\right)\left(x^3+1\right)\)
\(=>\left(x^5+x^3+x^2+1\right):\left(x^3+1\right)=\left(x^2+1\right)\left(x^3+1\right):\left(x^3+1\right)=x^2+1\)
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Ta có : \(x^5+x^3+x^2+1=x^2\left(x^3+1\right)+\left(x^3+1\right)=\left(x^2+1\right)\left(x^3+1\right)\)
\(=>\left(x^5+x^3+x^2+1\right):\left(x^3+1\right)=\left(x^2+1\right)\left(x^3+1\right):\left(x^3+1\right)=x^2+1\)