Use synthetic division to rewrite [math]\frac{a(x)}{b(x)}=\frac{x^3+2x^2-x+3}{x+1}[/math] in the form [math]\frac{a(x)}{b(x)}=q(x)+\frac{r(x)}{b(x)}[/math].

[list=1][br][*]Identify any values that make the expression invalid.[br][/*][*]Set up the synthetic division problem to divide the given numerator, [math]a(x)[/math], by the denominator, [math]b(x)[/math].[br][/*][*]Solve the synthetic division problem.[br][/*][*]Identify the remainder.[br][/*][*]Identify the quotient.[br][/*][*]Use the results of the synthetic division to rewrite the original expression.[br][/*][/list][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com/]www.walch.com[/url] for more information.