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# Find all real and imaginary zeros for the polynomial function?

f(x)= x^(3)-12x-16

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- mizooLv 78 years agoFavorite Answer
f(x) = x^3 - x^2 - 12x + x^2 - 16

f(x) = x(x^2 - x - 12) + (x - 4)(x + 4)

f(x) = x(x - 4)(x + 3) + (x - 4)(x + 4)

f(x) = (x - 4)(x(x + 3) + x + 4)

f(x) = (x - 4)(x^2 + 4x + 4)

f(x) = (x - 4)(x + 2)^2

zeros are at : x = -2, 4

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