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

Hello,

(x-4)(x+8)(x-2)(x-5i)(x+5i)
=(x^2+4x-32)(x-2)(x^2+25)
=(x^3+2x^2-40x+64)(x^2+25)
=x^5 +2x^4 -15x^3 +114 x^2-1000x+1600