Basic Math Examples

$\frac{j^{2} + 7 j - 44}{j - 4}$

Step 1

Factor $j^{2} + 7 j - 44$ using the AC method.

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Step 1.1

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 $- 44$ and whose sum is $7$ .

$- 4, 11$

Step 1.2

Write the factored form using these integers.

$\frac{(j - 4) (j + 11)}{j - 4}$

Step 2

Cancel the common factor of $j - 4$ .

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Step 2.1

Cancel the common factor.

$\frac{(j - 4) (j + 11)}{j - 4}$

Step 2.2

Divide $j + 11$ by $1$ .

$j + 11$