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] [*]Identify any values that make the expression invalid. [*]Set up the synthetic division problem to divide the given numerator, [math]a(x)[/math], by the denominator, [math]b(x)[/math]. [*]Solve the synthetic division problem. [*]Identify the remainder. [*]Identify the quotient. [*]Use the results of the synthetic division to rewrite the original expression. [/list]