Find the linear factorization of the polynomial and find all roots of the polynomial. f(x) = x3 + 8x2 + 25x + 200
A. f(x) = (x + 5i)(x + 8i)(x - 8i), roots: -5i, ± 8i
B. f(x) = (x + 8i)(x + 5i)(x - 5i), roots: -8i, ± 5i
C. f(x) = (x + 5)(x + 8i)(x - 8i), roots: -5, ± 8i
D. f(x) = (x + 8)(x + 5i)(x - 5i), roots: -8, ± 5i
Answer: D
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