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


   

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) About Me  (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
graph%28300%2C300%2C-5%2C5%2C-10%2C10%2Cx%5E5-6x%5E4%2B13x%5E3-14x%5E2%2B12x-8%29