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

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