Question

(q^2+11q+24)/(q^2-5q-24)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (q^2+11q+24)/(q^2-5q-24), we can factor the numerator and denominator:

Numerator: q^2 + 11q + 24 = (q + 3)(q + 8)
Denominator: q^2 - 5q - 24 = (q - 8)(q + 3)

Now we can cancel out the common factors:

(q + 3)(q + 8)/(q - 8)(q + 3)

The (q + 3) factors cancel out, leaving:

(q + 8)/(q - 8) as the simplified expression.

Answer 2

What can this not equal

Answer 3

[AI-generated answer — Bot GPT 3.5]

This expression (q^2+11q+24)/(q^2-5q-24) cannot equal zero. To find the values that make the expression undefined, we set the denominator equal to zero and solve for q:

q^2 - 5q - 24 = 0

Factoring the quadratic equation, we have:

(q - 8)(q + 3) = 0

Setting each factor equal to zero:

q - 8 = 0 or q + 3 = 0

Solving for q, we get:

q = 8 or q = -3

Therefore, the expression is undefined (cannot equal zero) for q = 8 and q = -3.