How do you write a polynomial with zeros 2,-2,-6i?

1 Answer
Feb 20, 2016

Answer:

Polynomial is #x^3+6ix^2-4x-24i#

Explanation:

A polynomial with zeros as #a, b, c# is #(x-a)(x-b)(x-c)#, as each of #a, b, c# make the vale of polynomial zero

Hence, A polynomial with zeros as #2, -2, -6i# is

#(x-2)(x-(-2))(x-(-6i))# i.e.

#(x-2)(x+2)(x+6i)# or

#(x^2-4)(x+6i)# or

#x^3+6ix^2-4x-24i#