Question

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed.

i and -i

Answer 1

for roots r1 and r2, the factors are (x-r1)(x-r2)


r1=i
r2=-i
don't forget i^2=-1

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

the function is
f(x)=x^2+1