Find the linear factorization of the polynomial and find all roots of the polynomial. f(x) = x4 - 6x3 + 33x2 - 150x + 200

A. f(x) = (x - 2)(x + 5)(x - 4i)(x + 4i), roots: 2, - 5, -4i
B. f(x) = (x + 5)(x - 4)(x - 2i)(x + 2i), roots: - 5, 4, -2i
C. f(x) = (x - 2)(x - 4)(x + 5i)(x - 5i), roots: 2, 4, ± 5i
D. f(x) = (x - 2)(x - 4)(x2 + 25), roots: 2, 4, ± 5i


Answer: C

Mathematics

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