SOLUTION: find a polynomial p(x) with real coefficients having a degree 4, leading coefficient 3, and zeros 2-i and 4i

Algebra ->  Equations -> SOLUTION: find a polynomial p(x) with real coefficients having a degree 4, leading coefficient 3, and zeros 2-i and 4i      Log On


   

Question 1021090: find a polynomial p(x) with real coefficients having a degree 4, leading coefficient 3, and zeros 2-i and 4i
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
p%28x%29=3%28x-%282-i%29%29%28x-%282%2Bi%29%29%28x-4i%29%28x-%28-4i%29%29


Simplify the right hand member.