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Equation of Higher Order Polynomials: For x^3 + ax^2 + bx + a = 0, if one root is 2 + i, find a & b?

A http://www.door2math.com production.For x^3 + ax^2 + bx + a = 0, if one root is 2 + i, how does one figure out the value of a & b?
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