Divide (t^2-4t-32)/(t-8)

$\frac{t^{2} - 4 t - 32}{t - 8}$

Step 1

Factor $t^{2} - 4 t - 32$ using the AC method.

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 $- 32$ and whose sum is $- 4$ .

$- 8, 4$

Write the factored form using these integers.

$\frac{(t - 8) (t + 4)}{t - 8}$

Step 2

Cancel the common factor of $t - 8$ .

Cancel the common factor.

$\frac{(t - 8) (t + 4)}{t - 8}$

Divide $t + 4$ by $1$ .

$t + 4$

Divide (t^2-4t-32)/(t-8)

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