Three Zeros of a Palindromic Quartic

★ 7/10functions Quadratic Equations Substitution algebra Casework

Problem

Suppose the function

f(x)=x^4-6x^3+rx^2-6x+1

has exactly three zeros in $(0,3]$ . Find the range of the real number $r$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Quadratic Equations, Substitution, algebra, Casework

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