- #1
omg precal
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Homework Statement
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).
Homework Equations
-b/a = sum of all roots ; e/a = product of all roots
ax^4 + bx^3 + cx^2 + dx + e = 0
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.