Question

first up, lets review the assignm

get familiar with this topic by reviewing instruc

question

divide: \\(\frac{x^2-4x-32}{-x^2-7x-12}\\)

provide your answer below:

Explanation:

Factor the numerator trinomial

Using the Factoring Trinomials knowledge point

$$ x^2 - 4x - 32 = (x - 8)(x + 4) $$

Factor the denominator trinomial

Using the Factoring Trinomials knowledge point

$$ -x^2 - 7x - 12 = -(x^2 + 7x + 12) = -(x + 3)(x + 4) $$

Simplify the rational expression

Using the Simplifying Rational Expressions knowledge point

$$ \frac{x^2 - 4x - 32}{-x^2 - 7x - 12} = \frac{(x - 8)(x + 4)}{-(x + 3)(x + 4)} = \frac{x - 8}{-(x + 3)} = -\frac{x - 8}{x + 3} = \frac{8 - x}{x + 3} $$

Answer:

Divide: \(\frac{x^2-4x-32}{-x^2-7x-12}\)

Provide your answer below:
<blank>\(-\frac{x-8}{x+3}\)</blank>