Precalculus Examples

$\frac{x^{2} - 10 x + 16}{x - 2}$

Step 1

Factor $x^{2} - 10 x + 16$ using the AC method.

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Step 1.1

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 $16$ and whose sum is $- 10$ .

$- 8, - 2$

Step 1.2

Write the factored form using these integers.

$\frac{(x - 8) (x - 2)}{x - 2}$

Step 2

Cancel the common factor of $x - 2$ .

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Step 2.1

Cancel the common factor.

$\frac{(x - 8) (x - 2)}{x - 2}$

Step 2.2

Divide $x - 8$ by $1$ .

$x - 8$

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