SOLUTION: Question: Write an equation which has 0,-3, and i as zeros. Leave equation in factored form. Please help.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Question: Write an equation which has 0,-3, and i as zeros. Leave equation in factored form. Please help.      Log On


   

Question 200619: Question: Write an equation which has 0,-3, and i as zeros. Leave equation in factored form. Please help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation which has 0,-3, and i as zeros. Leave equation in factored form
x = 0
Factor is x
x = -3
Factor: (x+3)
:
x = i
Square both side
x^2 = i^2
x^2 = -1
factor: (x^2 + 1)
:
x (x+3)(x^2 + 1) = 0; in factored form