Question

2. Simplify and state any excluded values d="TexFormula1" title=" \frac{x^2-x-6}{x^2+7x+10} " alt=" \frac{x^2-x-6}{x^2+7x+10} " align="absmiddle" class="latex-formula">

Answer 1

When the denominator is zero, you divide by zero so the roots of that polynomial are excluded. They are x=-5 and x=-2, as can be found using the abc quadratic formula or by factoring.

If you factor numerator and denominator you can rewrite as:

$\frac{(x+2)(x-3)}{(x+5)(x+2)} = \frac{x-3}{x+5}$