True or False There is at least one polynomial with real coefficients with as its…

MATHEMATICS · Multi-part · IB Diploma Programme · Mathematics: Analysis and Approaches · Number and Algebra · Number and Algebra

Problem

53. True or False There is at least one polynomial with real coefficients with

1-2 i

as its only nonreal zero. Justify your answer. (1) True or False (2) Justify your answer.