Simplify \(2xxx\) to \(2{x}^{3}\).
\[Px=2{x}^{3}+5xx-3xxx-\frac{2}{x}-1\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Px=2{x}^{3}+5{x}^{2}-3xxx-\frac{2}{x}-1\]
Simplify \(3xxx\) to \(3{x}^{3}\).
\[Px=2{x}^{3}+5{x}^{2}-3{x}^{3}-\frac{2}{x}-1\]
Simplify \(2{x}^{3}+5{x}^{2}-3{x}^{3}-\frac{2}{x}-1\) to \(-{x}^{3}+5{x}^{2}-\frac{2}{x}-1\).
\[Px=-{x}^{3}+5{x}^{2}-\frac{2}{x}-1\]
Divide both sides by \(x\).
\[P=\frac{-{x}^{3}+5{x}^{2}-\frac{2}{x}-1}{x}\]
Simplify \(\frac{-{x}^{3}+5{x}^{2}-\frac{2}{x}-1}{x}\) to \(-{x}^{2}+\frac{5{x}^{2}-\frac{2}{x}-1}{x}\).
\[P=-{x}^{2}+\frac{5{x}^{2}-\frac{2}{x}-1}{x}\]
Regroup terms.
\[P=\frac{5{x}^{2}-\frac{2}{x}-1}{x}-{x}^{2}\]
P=(5*x^2-2/x-1)/x-x^2
