SOLUTION: Find the polynomial equation of least degree with roots -4, 2i, and -2i Thank you so much!!!! God Bless and Happy Holidays!!!!

Algebra ->  Rational-functions -> SOLUTION: Find the polynomial equation of least degree with roots -4, 2i, and -2i Thank you so much!!!! God Bless and Happy Holidays!!!!      Log On


   

Question 388713: Find the polynomial equation of least degree with roots -4, 2i, and -2i
Thank you so much!!!!
God Bless and Happy Holidays!!!!
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The polynomial becomes

%28x+%2B+4%29%28x+-+2i%29%28x+%2B+2i%29 (in which all three numbers are roots)

= %28x+%2B+4%29%28x%5E2+%2B+4%29

= x%5E3+%2B+4x%5E2+%2B+4x+%2B+16