Suppose we are given a polynomial equation of the form $$ax^4 + bx^3 + cx^2+dx +e = 0 $$ with $a,b,c,d,e\in\mathbb{R}$.
Does there exist conditions on the coefficients $a,b,c,d,e$ such that the equation produces only real roots?
2026-03-31 16:23:53.1774974233
Criterion for real roots of 4th order polynomial
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