# How do you use the rational roots theorem to find all possible zeros of #f(x)=x^4-x-4#?

The rational root theorem helps us determine that this

That means that the only possible rational zeros are:

Trying each in turn, we find:

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To use the Rational Roots Theorem to find possible zeros of ( f(x) = x^4 - x - 4 ), you first need to identify the leading coefficient and constant term of the polynomial. Then, you list all the factors of the constant term and divide them by all the factors of the leading coefficient. This will give you a list of possible rational roots (zeros) of the polynomial. Finally, you can use synthetic division or polynomial long division to test each potential zero to see if it produces a remainder of zero when substituted into the polynomial. Any zero that produces a remainder of zero is a root of the polynomial.

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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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