Find a monic quartic polynomial (x) with rational coefficients whose roots include x=3−i√4. Give your answer in expanded form.
a) (f(x) = x⁴ - 6x³ + 33x² - 90x + 82)
b) (f(x) = x⁴ + 6x³ + 33x² - 90x + 82)
c) (f(x) = x⁴ - 6x³ - 33x² + 90x + 82)
d) (f(x) = x⁴ + 6x³ - 33x² - 90x + 82)