Use 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) = 2x4 - 20x3 + 51x2 - 10x + 25
A. -5, multiplicity 2; f(x) = (x + 5)2(2x2 + 1)
B. no real roots; f(x) = (x2 + 25)(2x2 + 1)
C. -5, 5; f(x) = (x - 5)(x + 5)(2x2 + 1)
D. 5, multiplicity 2; f(x) = (x - 5)2(2x2 + 1)
Answer: D
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