Finite Math Examples

x^{2} + 7 x + 12

$x^{2} + 7 x + 12$

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

12

$12$ and whose sum is

7

$7$ .

3, 4

$3, 4$

Step 2

Write the factored form using these integers.

(x + 3) (x + 4)

$(x + 3) (x + 4)$

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

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