Complex a with real polynomial coefficients

2050SpecialistPolynomialsComplex Numbers

Croatian Mathematical Society Competitions

Find all complex numbers $a$ such that all coefficients of $$ P(x) = (x - a)(x - a^2)(x - a^3)(x - a^4) $$ are real numbers.

0 students attempted0% solvedRating 2050

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2050SpecialistPolynomialsComplex Numbers

Croatian Mathematical Society Competitions

Find all complex numbers $a$ such that all coefficients of $$ P(x) = (x - a)(x - a^2)(x - a^3)(x - a^4) $$ are real numbers.

0 students attempted0% solvedRating 2050