find all complex zeros for the following polynomial function please show all your work

f(x) = x^3 - 125

????????

3 answers

we have a difference of cubes

x^3 - 125 = (x-5)(x^2 + 5x + 25)

the quadratic has complex roots of
x = (-5 ± √-75)/2
= (-5 ± 5√-3)/2

= (-5 ± 5√3 i )/2
what does the question mark mean????
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