Find the Holes in the Graph y=(4x^2+12x)/(x+7)

$y = \frac{4 x^{2} + 12 x}{x + 7}$

Step 1

Factor $4 x$ out of $4 x^{2} + 12 x$ .

Factor $4 x$ out of $4 x^{2}$ .

$y = \frac{4 x (x) + 12 x}{x + 7}$

Factor $4 x$ out of $12 x$ .

$y = \frac{4 x (x) + 4 x (3)}{x + 7}$

Factor $4 x$ out of $4 x (x) + 4 x (3)$ .

$y = \frac{4 x (x + 3)}{x + 7}$

Step 2

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

No holes

Step 3