Given 3+i is a root, determine all other roots of f(x)=x^4-2x^3-x^2-38x-130.
2 answers
Remember that if 3+i is a root, then 3-i is also a root. Then you can divide f(x) by (x-3-i)(x-3+i) and find the other roots.
Yes, I agree. I have used synthetic division to solve for 3+i and 3-i, giving me two answers. But because the highest degree of exponents is x^4 then I can expect to find four answers right?