Basic Math Examples

$(x^{2} - 2 x - 35) \div (x + 5)$

Step 1

Rewrite the division as a fraction.

$\frac{x^{2} - 2 x - 35}{x + 5}$

Step 2

Factor $x^{2} - 2 x - 35$ 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 $- 35$ and whose sum is $- 2$ .

$- 7, 5$

Step 2.2

Write the factored form using these integers.

$\frac{(x - 7) (x + 5)}{x + 5}$

Step 3

Cancel the common factor of $x + 5$ .

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Step 3.1

Cancel the common factor.

$\frac{(x - 7) (x + 5)}{x + 5}$

Step 3.2

Divide $x - 7$ by $1$ .

$x - 7$