Precalculus homework help!

[Luis_12]

Find a polynomial of degree 4 whose ONLY real zero is -1. You also know that it has a complex zero of 2+i. Please multiply this all the way out.

 

[Deleted member 4993]

Find a polynomial of degree 4 whose ONLY real zero is -1. You also know that it has a complex zero of 2+i. Please multiply this all the way out.

Hint:

A fourth degree polynomial will have four zeros - and some of those can be repeated zeros.

A complex root and its conjugate must be paired as roots for all real polynomials.