Simplify (-9x)/(x^2-4x-21)

$\frac{- 9 x}{x^{2} - 4 x - 21}$

Factor $x^{2} - 4 x - 21$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 21$ and whose sum is $- 4$ .

$- 7, 3$

Write the factored form using these integers.

$\frac{- 9 x}{(x - 7) (x + 3)}$

Move the negative in front of the fraction.

$- \frac{9 x}{(x - 7) (x + 3)}$

Simplify (-9x)/(x^2-4x-21)

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