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) = 5x4 - 40x3 + 81x2 - 8x + 16
A. -4, 4; f(x) = (x - 4)(x + 4)(5x2 + 1)
B. -4, multiplicity 2; f(x) = (x + 4)2(5x2 + 1)
C. 4, multiplicity 2; f(x) = (x - 4)2(5x2 + 1)
D. no real roots; f(x) = (x2 + 16)(5x2 + 1)
Answer: C
Mathematics
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