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Polynomial Functions


Problems

Problem : How many variations are in the function f (x) = x 6 -6x 4 +2x 2 + 2x - 7 ?


Problem : How many positive and negative real roots might the function f (x) = 2x 3 -3x 2 - 4x + 1 have?


Problem : What are the possible rational roots of f (x) = x 3 -4x 2 + 3x - 6 ? Use Descartes' Rule of Signs and the Rational Root Theorem.


Problem : Find all real roots of x 3 + x 2 - 4x - 2 .


Problem : Find all real roots of x 4 +5x 3 - 15x + 9 .