# How do you find the zeros of # 4x^4 + 3x^3 + 2x^2 - 3x + 4#?

See explanation...

This is an interesting question due to the form of the quartic.

Then:

Taking such a pair of zeros, we find:

Therefore consider:

Equating coefficients we find:

Hence (to cut a long story a little shorter) we can find:

Using the quadratic formula to find the roots, we obtain formulae including the square root of a Complex number.

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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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- What are the roots of #x^4-6x^3+14x^2-14x+5=0# with their multiplicities?

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