Algebra Examples

$x^{2} - 5 x + 6$ , $\frac{1}{x}$

Step 1

Multiply the expressions.

$(x^{2} - 5 x + 6) \cdot \frac{1}{x}$

Step 2

Multiply $x^{2} - 5 x + 6$ by $\frac{1}{x}$ .

$\frac{x^{2} - 5 x + 6}{x}$

Step 3

Factor $x^{2} - 5 x + 6$ using the AC method.

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Step 3.1

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 $6$ and whose sum is $- 5$ .

$- 3, - 2$

Step 3.2

Write the factored form using these integers.

$\frac{(x - 3) (x - 2)}{x}$