Question

Write a polynomial function of degree 7 that has the given zeros : 6 multiplicity 3,-4i,i

Answer 1

Hello from MrBillDoesMath!

Answer:

x^7 - 18 x^6 + 125 x^5 - 522 x^4 + 1852 x^3 - 3960 x^2 + 1728 x - 3456

See Discussion for details.

Discussion:

The polynomial is

(x-6)^3 * (x-4i)(x+4i)(x-i)(x+i)   =

x^7 - 18 x^6 + 125 x^5 - 522 x^4 + 1852 x^3 - 3960 x^2 + 1728 x - 3456

Thank you,

MrB