# What are all the zeroes of #f(x)=5x^3+8x^2-4x+3#?

The Real root is:

#x_1 = -8/15+root(3)((-4489+45sqrt(6185))/6750)+root(3)((-4489-45sqrt(6185))/6750)#

#~~ -2.11299545715260#

Complex roots as shown below.

Then:

Hence:

Then we have:

Then by the quadratic formula:

The Complex roots are:

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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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