Divide a^2-2a-3 entre a+1

$a^{2} - 2 a - 3$ entre $a + 1$

Step 1

Write the problem as a mathematical expression.

$\frac{a^{2} - 2 a - 3}{a + 1}$

Step 2

Factor $a^{2} - 2 a - 3$ 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 $- 3$ and whose sum is $- 2$ .

$- 3, 1$

Write the factored form using these integers.

$\frac{(a - 3) (a + 1)}{a + 1}$

Step 3

Cancel the common factor of $a + 1$ .

Cancel the common factor.

$\frac{(a - 3) (a + 1)}{a + 1}$

Divide $a - 3$ by $1$ .

$a - 3$

Divide a^2-2a-3 entre a+1

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