Algebra Examples

$x^{2} + 2 x + (- 15)$

Step 1

Remove parentheses.

$x^{2} + 2 x - 15$

Step 2

Factor $x^{2} + 2 x - 15$ 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 $- 15$ and whose sum is $2$ .

$- 3, 5$

Step 2.2

Write the factored form using these integers.

$(x - 3) (x + 5)$