Pre-Algebra Examples

p^{2} - p - 6

$p^{2} - p - 6$

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

- 1

$- 1$ .

- 3, 2

$- 3, 2$

Step 2

Write the factored form using these integers.

(p - 3) (p + 2)

$(p - 3) (p + 2)$

p^{2} - p - 6

$p^{2} - p - 6$

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

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