SOLUTION: A cubic polynomial equation, P(x)=0, has real coefficients and a leading coefficient of 1. One of its roots if 1+2i and the sum of the roots is 14. Write P(x) in polynomial form.

Question 1104658: A cubic polynomial equation, P(x)=0, has real coefficients and a leading coefficient of 1. One of its roots if 1+2i and the sum of the roots is 14. Write P(x) in polynomial form.
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Two roots are 1-2i and r, and the given root is 1+2i.

If sum of these roots is 14 then ;
.

Do the simplification.
.
.

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