Octopus Poly

Algebra Level 5

Let

\(\displaystyle f(x) = 5x^{88} + ax^{5} + bx^{2} - cx -10\)

Given

\(a, b, c \in \mathbb R \)

\(f(2) = 5, f(4) = -5 \)

Then find the minimum number of real roots of \(f(x)\)

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