Joel's Problem 1

Algebra Level 3

I will be posing some problems in order of increasing difficulty, and this will be the first.

How many vertical asymptotes does the (cartesian coordinate) graph of y=(x+3)(x+2)(x+1)(x+2)(x+1)xy=\frac{(x+3)(x+2)(x+1)}{(x+2)(x+1)x} have?

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