Write a linear factorization of the function. f(x) = x4 + 16×2

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Write a linear factorization of the function. f(x) = x4 + 16×2

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F (x) = x ^ 4 + 16 x² =
= x² · (x² + 16)
Do x² + 16:
x 1/2 = (0 +/- √ (-64)) / 2 = +/- 8 i / 2 = +/- 4 i
x² + 16 = (x + 4 i) · (x – 4 i)

f (x) = x² · (x + 4 i) · (x – 4 i)