Question

Find the excluded values of $\frac{2x-1}{x^2+5x+6}.$

• A. $-2\&-3$
• B. $-2\&3$
• C. $2\&-3$
• D. $2\&3$

Answer 1

The correct option is A $-2\&-3$

To find the excluded value for a given rational expression, consider the denominator equal to zero.

Here, $x^2+5x+6=0$
$\Rightarrow (x+2)(x+3)=0$
$\Rightarrow x=-2\&x=-3$

$\therefore$ the excluded values of $\frac{2x+1}{x^2-x-6}$ are -2 and -3.