Question

Write a polynomial function if its zeros are 2,1, and 2+3i

Answer 1

A polynomial has real coeffients
a polynomial with roots b and c and d can be.factored into the form
f(x)=a(x-b)(x-c)(x-c)
and each of those terms can be raised to any positive power

if it has real coeffients and.one of the roots is a+bi (compex number) then a-bi is also root

ok, so since 2+3i is a root, 2-3i is also a root
the function can bex
f(x)=a(x-2)(x-1)(x-(2+3i))(x-(2-3i))
where a can be any real number except 0
expand it yourself to get the polynomial because it's hard to type nyubers on mobile
note that i=√-1 so i^2=-1