Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 4x4  - 40x3 + 101x2 - 10x + 25

A. -5, multiplicity 2; f(x) = (x + 5)2(4x2 + 1)
B. -5, 5; f(x) = (x - 5)(x + 5)(4x2 + 1)
C. 5, multiplicity 2; f(x) = (x - 5)2(4x2 + 1)
D. no real roots; f(x) = (x2 + 25)(4x2 + 1)


Answer: C

Mathematics

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