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

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) (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

RELATED QUESTIONS
Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by stanbon,KMST)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by Alan3354)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by Boreal,MathLover1)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by Glaviolette)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by josgarithmetic)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by Edwin McCravy)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by Fombitz)