SOLUTION: Write a polynomial equation p(x) of degree 4 whose zeros are: 2+3i, 2-3i, 0, -1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a polynomial equation p(x) of degree 4 whose zeros are: 2+3i, 2-3i, 0, -1      Log On


   

Question 822821: Write a polynomial equation p(x) of degree 4 whose zeros are: 2+3i, 2-3i, 0, -1
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
In raw factored form,p%28x%29=x%28x%2B1%29%28x-%282%2B3i%29%29%28x-%282-3i%29%29.

Simplify the complex factored product first.
%28%28x-2%29-3i%29%28%28x-2%29%2B3i%29
%28x-2%29%5E2-9i%5E2
%28x-2%29%5E2-9%28-1%29
x%5E2-4x%2B4%2B9
highlight_green%28x%5E2-4x%2B13%29

And you can perform the rest of the multiplications.