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Year 12 Maths Extension 2 (2027) Complex numbers

Complex Coefficients of a Polynomial

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Question 1
183253
For which of the following equations does the conjugate root theorem guarantee that any non-real roots occur in conjugate pairs?
A.
\(z^2 + 2z + 5 = 0\)
B.
\(z^2 + iz + 1 = 0\)
C.
\(z^2 - (1+i)z + 2 = 0\)
D.
\(iz^2 + z + 1 = 0\)
\(z^2 + 2z + 5 = 0\)

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