1. The problem statement, all variables and given/known data A quartic polynomial P(x) with real coefficients has zeros 2 + i and 3 - 2i. The other zeros are obviously 2 - i and 3 + 2i. If P(0) = 13, find a rule for P(x). 2. Relevant equations -b/a = sum of all roots ; e/a = product of all roots ax^4 + bx^3 + cx^2 + dx + e = 0 3. The attempt at a solution I'm pretty sure e has to equal -13 because that would be the only way P(0) = 13, right? If someone could kindly tell me how to solve this problem, it would be great.