What topic in mathematics do I need to search for to be able to answer this question? Would

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$\displaystyle

R(x) = \frac{x^2 - 9}{2x^2-5x-3}

$

A graph of this function has which of the following sets of characteristics?

**A.** One vertical asymptote, one horizontal asymptote, and two equal zeros

**B.** Two vertical asymptotes, two horizontal asymptotes, one distinct zero, and a removable discontinuity at x = 3

**C.** Two vertical asymptotes, one horizontal asymptote, and two distinct zeroes.

**D.** One vertical asymptote, one horizontal asymptote, one distinct zero, and a removable discontinuity at x = 3

This is what I can do as of right now:

- Graph the function by plugging in a value for x and getting y.
- Set the denomintor to zero, to see what can't be on the graph

But there are some keywords I just don't understand. "Distinct zero", "Removable discontinuity", and "Equal zeros".