SOLUTION: Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.
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Question 41212
:
Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.
Answer by
fractalier(2101)
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Since 2i is a root, so must be -2i. Thus our polynomial starts as
(x - 2i)(x + 2i)(x - 4) = 0
(x^2 + 4)(x - 4) = 0
x^3 - 4x^2 + 4x - 16 = 0
