SOLUTION: Find a polynomial f(x) with real coefficients that satisfies the given conditions: degree 5; zeros 2 of multiplicity 3, i, and -i.

SOLUTION: Find a polynomial f(x) with real coefficients that satisfies the given conditions: degree 5; zeros 2 of multiplicity 3, i, and -i.

Algebra.Com

Question 1189728: Find a polynomial f(x) with real coefficients that satisfies the given conditions: degree 5; zeros 2 of multiplicity 3, i, and -i.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(x-2)^3(x-i-1)(x+I-1)
(x-2)^3(x^2+1)
(x3-6x^2+12x-8)*(x^2+1)=
x^5-6x^4+13x^3-14x^2+12x-8

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