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Question
Find a polynomial equation of minimum degree with rational coefficients, having 2i + 3 as a root
Solution
Given roots is (3 + 2i), the other root is (3 – 2i)
Since imaginary roots occur in with real co-efficient occurring conjugate pairs.
x2 – x(S.O.R) + P.O.R = 0
⇒ x2 – x(6) + (9 + 4) = 0
⇒ x2 – 6x + 13 = 0
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Choose the correct alternative:
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