Question

Find the remaining solutions of x^4-4x^3+11x^2-14x+10, if one solution is 1+i

Answer 1

Divide x^4-4x^3+11x^2-14x+10 by 1+i I think.

Answer 2

First I would solve \[(x-(1+i)(x-(1-i)\]
Then I would get\[x^2 -x(1-i)-x(1+i)+(x^2-2x+2)\]
Which would then give me \[2x^2-4x+2\]
How do I go from there?

Answer 3

Correction it would be \[x^2-2x+2\]