A Shifted Symmetric Quartic

★ 7/10functions Substitution algebra Completing the Square Polynomials Symmetry

Problem

The graph of

f(x) = (1 - x^2)(x^2 + ax + b)

is symmetric about the line $x = 3$ . Find the maximum value of $f(x)$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Substitution, algebra, Completing the Square, Polynomials, Symmetry

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