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

According to the Fundamental Theorem of Algebra, the number of zeros or roots of the equation is equal to the highest degree among the terms. So with the given real roots 4, and -8 the order should be 2 or a binomial. We expound (x-4) * (x+8) to give x2 + 4x - 32 = 0