###### Asked in Math and ArithmeticAlgebra

Math and Arithmetic

Algebra

# What polynomial has one root that equals 2 plus i name one other root of this polynomial?

## Answer

###### Wiki User

###### June 21, 2017 9:18PM

There are infinitely many polynomials which meet the requirement.The polynomial is x2 + (-a - bi - 3)x + (2a - 2bi - ai + b) = 0

and the other root is x = a + bi.

There is nothing in the question which requires its coefficients to be real.

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