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