Chapter 7 - Rational Functions - 7.2 Simplifying Rational Expressions - 7.2 Exercises - Page 576: 53

$x+4$

Given \begin{equation} \begin{aligned} \left(x^2-3 x-28\right) \div(x-7) \end{aligned} \end{equation} \pi\piUse synthetic division. \begin{equation} \begin{array}{r|rrr} 7& 1 & -3 & -28 \\ & & 7 & 28 \\ \hline & 1 & 4 & 0 \end{array} \end{equation} The solution is \begin{equation} \begin{aligned} \frac{x^2-3 x-28}{x-7}= x+4 \end{aligned} \end{equation}