SOLUTION: Write the equation of the minimum degree standard form polynomial with real coefficients that has 2 and 2 – i as zeros.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the equation of the minimum degree standard form polynomial with real coefficients that has 2 and 2 – i as zeros.      Log On


   

Question 1125325: Write the equation of the minimum degree standard form polynomial with real coefficients that has 2 and 2 – i as zeros.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If 2-i is a zero, the 2+i must be one as well
factors are (x-2)(x-2+i)(x-2-i)
multiply the second and third
x^2-2x-ix-2x+4+2i+ix-2i-i^2, where i^2=-1
x^2-4x+5 is the other factor
polynomial is x^3-6x^2+13x-10
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-6x%5E2%2B13x-10%29