Question 1181456

if a polynomial of degree {{{3}}}  has zeros {{{sqrt(3)*i}}} and {{{0 }}}, it also has  zero {{{-sqrt(3)*i}}} (complex zeros always come in pairs)

then

{{{f(x)=(x-sqrt(3)*i)(x-(-sqrt(3)*i))(x-0)}}}....expand

{{{f(x)=(x^2-(sqrt(3)*i)^2)(x)}}}

{{{f(x)=(x^2-3i^2)(x)}}}

{{{f(x)=(x^2-3(-1))(x)}}}

{{{f(x)=(x^2+3)(x)}}}

{{{f(x)=x^3+3x}}}