(q ^ 2 + 11q + 24)/(q ^ 2 - 5q - 24) 2. (1 point)
(q + 8)/(q - 8) q ≠-3 q ≠-8
(- (q + 8))/(q - 8) ;q ≠-3,q ≠8
(q + 8)/(q - 8) q ≠-3, q ≠8
(- (q + 8))/(q - 8) q ≠8
Rational Expressions QC
1.B
2.C
3.D
4.D
5.B
To simplify the expression (q^2 + 11q + 24)/(q^2 - 5q - 24), you can factor both the numerator and denominator.
Let's start by factoring the numerator:
The expression q^2 + 11q + 24 can be factored as (q + 3)(q + 8).
Now, let's factor the denominator:
The expression q^2 - 5q - 24 can be factored as (q - 8)(q + 3).
Now, the original expression becomes ((q + 3)(q + 8))/((q - 8)(q + 3)).
Notice that (q + 3) appears in both the numerator and denominator. We can cancel out this factor.
The simplified expression is then (q + 8)/(q - 8) assuming that q is not equal to -3 or -8.
Therefore, the correct answer is (q + 8)/(q - 8) when q is not equal to -3 or -8.