Find the Holes in the Graph f(x)=(x^2+12x+35)/(x-1)

$f (x) = \frac{x^{2} + 12 x + 35}{x - 1}$

Step 1

Factor $x^{2} + 12 x + 35$ 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 $35$ and whose sum is $12$ .

$5, 7$

Write the factored form using these integers.

$f (x) = \frac{(x + 5) (x + 7)}{x - 1}$

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^2+12x+35)/(x-1)

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