Question

write a polynomial function of least degree that has real coefficents, the given zeros, and a leading coefficent of 1
2,-2,i,-i

Answer 1

see if x=2 be a root then x-2 is one of the factor

Answer 2

To wirte a polynomial with give zeros you do
(x-a)(x-b)(x-c)(x-d)

where a b c and d are the zeros by the defiition of the linear factorizartion theorme

Answer 3

Its already stated that they are zeros @matricked

Answer 4

(x+2)(x-2)(x+i)(x-i)=(x^2-4)(x^2+1)= x^4-3x^2 -4