Question

How to analyse roots of a fourth degree polynomial?

Answer 1

★ QUADRATIC RESOLUTION ★

Analysis of roots of 4rth degree polynomial :

First of all transform the given equation to simple quadratic ones by reducing it by 2 dimensions

x⁴ + x² + c = 0

Consider : x² = t

Now the 4rth degree polynomial is reduced to :

t² + t + c = 0

Now , we can easily implement quadratic function's discriminant properties to check and define the roots of the above equation

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