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) = 5x4 - 10x3 + 6x2 - 2x + 1
A. -1, multiplicity 2; f(x) = (x + 1)2(5x2 + 1)
B. -1, 1; f(x) = (x - 1)(x + 1)(5x2 + 1)
C. no real roots; f(x) = (x2 + 1)(5x2 + 1)
D. 1, multiplicity 2; f(x) = (x - 1)2(5x2 + 1)
Answer: D
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