SOLUTION: Find a polynomial of degree 4 with integer coefficients has zeros 1+i and i, with constant term 6. What is the leading coefficient?

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Question 1071910: Find a polynomial of degree 4 with integer coefficients has zeros 1+i and i, with constant term 6. What is the leading coefficient?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Real coefficients in a polynomial with complex roots means the roots come in complex conjugate pairs,



So then,



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