SOLUTION: Find all the roots, given that x=2+i is a root: p(x)=x^4-4x^3+3x^2+8x-10

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Question 1113728: Find all the roots, given that x=2+i is a root:
p(x)=x^4-4x^3+3x^2+8x-10

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Another root is , so part of the factorization for p is




--------a quadratic factor of p.

If you perform polynomial division for p(x) divided by , the result will be quotient of . The roots corresponding to this are and .

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