SOLUTION: If x = 3i is a root of the polynomial P(x) which has real coefficients, then what other root is guaranteed?

SOLUTION: If x = 3i is a root of the polynomial P(x) which has real coefficients, then what other root is guaranteed?

Algebra.Com

Question 148500: If x = 3i is a root of the polynomial P(x) which has real coefficients, then what other root is guaranteed?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The root is identical to . Since complex roots always come in conjugate pairs, this means that the other guaranteed root is (which is the complex conjugate to ). So the other root is either or simply
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