Can Anyone help me?

Question

Form a Polynomial equation of least degree Satisfying the following

a.) whose roots are the simple root -i and triple root 0

Answer 1

f(x) = (x+i)x^3 = x^4 + ix^3

but if you want a polynomial with all real coefficients

f(x) = x^5 + x^3

that adds another root x=i, (x^2+1)(x^3) = x^5+x^3