Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

Question

P(x) = x⁶ − 2x³ + 1

x=

Answer 1

x⁶ - 2x³ + 1 + x +

(x³ - 1)(x³ - 1)

(x - 1)(x² + x + 1)(x - 1)(x² + x + 1)

From here you should be able to determine the zeros.