Find the Holes in the Graph f(x)=(x+10)/(x^2+8x+12)

$f (x) = \frac{x + 10}{x^{2} + 8 x + 12}$

Step 1

Factor $x^{2} + 8 x + 12$ 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 $12$ and whose sum is $8$ .

$2, 6$

Write the factored form using these integers.

$f (x) = \frac{x + 10}{(x + 2) (x + 6)}$

Step 2

Since no factors can be removed from the denominator, there are no holes in the graph.

No holes

Step 3

Find the Holes in the Graph f(x)=(x+10)/(x^2+8x+12)

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