1. The problem statement, all variables and given/known data Form a polynomial whose zeros and degree are given below. You don't need to expand it completely but you shouldn't have radical or complex terms. Degree 4: No real zeros, complex zeros of 1+i and 2-3i 2. Relevant equations (-b±√b^2-4ac)/2a 3. The attempt at a solution I want something along the lines of 1 + sqrt(-1) and 1 - sqrt(-1) I tried x^2 + x + 1 and here is what I got (-1+sqrt(3)i)/2 and (-1-sqrt(3)i)/2 There has to be a better way than plugging coefficients into ax^2 + bx + c to find 2 factors, 1 for each complex zero(I only need 2 since complex numbers come in pairs) I know for real zeros + y intercept I can just solve for a at x = 0 Is there a shortcut to trial and error with complex zeros that aren't a simple multiple of i(multiples of i would mean a sum of squares and that's easy)?