Algebra-2

1. Factorize the denominator and numerator:

.

.

So .

2. Vertical Asymptote:

Vertical asymptotes occur where the denominator is zero and the numerator is not zero at the same point.

Setting the denominator equal to zero gives  or , so  and .

When , the factor  cancels out.

When , the denominator is zero and the numerator is not zero. So there is a vertical asymptote at .

Conclusion: False (Vertical asymptote is at , not ).

3. Hole:

A hole occurs where a factor in the numerator and a factor in the denominator cancel out.

Since

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