# What are the possible rational zeros of #P(x) = 4x^4+19x^3-x^2+19x-5# ?

The "possible" rational zeros are:

The actual rational zeros are:

The other two zeros are:

Given:

That means that the only possible rational zeros are:

We find:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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