Pre-Algebra Examples

$f (x) = \frac{x - 1}{x^{2} + x - 20}$

Step 1

Rewrite the function as an equation.

$y = \frac{x - 1}{x^{2} + x - 20}$

Step 2

Factor $x^{2} + x - 20$ using the AC method.

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Step 2.1

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 $- 20$ and whose sum is $1$ .

$- 4, 5$

Step 2.2

Write the factored form using these integers.

$y = \frac{x - 1}{(x - 4) (x + 5)}$