Important: The polytools package has been deprecated. Use the superseding command PolynomialTools[Translate] instead.

Translate the polynomial $a\left(x\right)$ by $x=x+\mathrm{x0}$ efficiently. The method used requires $\mathrm{O}\left(n\right)$ multiplications and divisions and $\mathrm{O}\left(n^2\right)$ additions where $n=\mathrm{degree}\left(a\,x\right)$.

The command with(polytools,translate) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{polytools}\right)\:$

$\mathrm{translate}\left(x^2\,x\,1\right)$

$x^2+2x+1$