L Luis_12 New member Joined Jun 12, 2011 Messages 1 Jun 12, 2011 #1 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.
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.
D Deleted member 4993 Guest Jun 12, 2011 #2 Luis_12 said: 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. Click to expand... 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.
Luis_12 said: 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. Click to expand... 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.
