Examples

t^{2} + 5 t + 6

$t^{2} + 5 t + 6$

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

6

$6$ and whose sum is

5

$5$ .

2, 3

$2, 3$

Step 2

Write the factored form using these integers.

(t + 2) (t + 3)

$(t + 2) (t + 3)$

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

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