Examples

x^{2} + 9 x + 20

$x^{2} + 9 x + 20$

Step 1

Consider the form

x^{2} + b x + c

$x^{2} + b x + c$ . Find a pair of integers whose product is

c

$c$ and whose sum is

b

$b$ . In this case, whose product is

20

$20$ and whose sum is

9

$9$ .

4, 5

$4, 5$

Step 2

Write the factored form using these integers.

(x + 4) (x + 5)

$(x + 4) (x + 5)$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$