Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -14, and 5 + 8i

Answer 1

Hello,

Zeroes are 4,-14,5+8i and 5-8i (conjugate).

P(x)=(x-4)(x+14)(x-(5+8i))(x-(5-8i))
=(x²+10x-56)((x-5)²+8²)
=(x²+10x-56)(x²-10x+89)
=x^4-67x^2+1450x-4984