Determine a polynomial function of degree 3 with real coefficients whose zeros are

Question

ƒ{2, 1+i .

Answer 1

don't grok the ƒ{ part, but as for the rest, since complex roots occur in conjugate pairs,

p(x) = (x-2)(x-(1+i))(x-(1-i))
= (x-2)((x-1)-i)((x-1)+i)
= (x-2)(x^2-2x+1 + 1)
...