Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form 4, -8, and 2 + 5i

Answer 1

i need help on how to work this out

Answer 2

if the polynomial has real coefficients the the complex roots must be conjugates so a fourth zero would be 2 - 5i

Answer 3

so we have

(x - 4)(x + 8)[x - (2 + 5i)] [x - (2 - 5i)] = 0

expand to get standard form