Question

Find the polynomial equation over R of lowest degree which is satisfied by 1− i
and 3 + .i2

Answer 1

P(x) = (x-1+i)(x-1-i)(x-3-2i)(x-3+2i) = (x² - 2x + 2)(x² - 6x + 13) = x⁴ - 8x³ + 27x² - 38x +26;

Answer: P(x) = x⁴ - 8x³ + 27x² - 38x +26;