Question

\frac{q^2+11q+24}{q^2-5q-24}

Answer 1

what can this expression not equal?

Answer 2

please say this in numbers and words only

Answer 3

To simplify the given expression, we can try factoring the numerator and denominator.

The numerator, $q^2+11q+24$, factors as $(q+3)(q+8)$.

The denominator, $q^2-5q-24$, factors as $(q-8)(q+3)$.

Now we can rewrite the expression in factored form: $$\frac{(q+3)(q+8)}{(q-8)(q+3)}$$

Notice that the factor $(q+3)$ appears in both the numerator and denominator. We can cancel out this common factor, resulting in: $$\frac{(q+8)}{(q-8)}$$

Thus, the simplified expression is $\boxed{\frac{q+8}{q-8}}$.

Answer 4

The expression $\frac{q+8}{q-8}$ can equal any real number except when the denominator, $q-8$, equals zero.

This means that the expression is undefined when $q=8$. Therefore, the expression cannot equal any real number when $q=8$.

Answer 5

The expression $\frac{q+8}{q-8}$ can equal any real number except for 8.