SOLUTION: write polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros
2, i, -i
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Question 848747: write polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros
2, i, -i
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Degree three, because you want exactly those three given roots. I will do this only part-way:
The binomial factors of f will be . Multiply the two imaginary factors first:
-
So revise the function expression as
... and you can finish the rest.
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