SOLUTION: Find the polynomial function of degree three with rational coefficients and some of its zeroes are -2 and 1+i. Show work.

Algebra ->  Expressions-with-variables -> SOLUTION: Find the polynomial function of degree three with rational coefficients and some of its zeroes are -2 and 1+i. Show work.      Log On


   



Question 420134: Find the polynomial function of degree three with rational coefficients and some of its zeroes are -2 and 1+i. Show work.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
This problem can be solved in at least a couple of ways. I show the most direct. Note that if 1+i is a zero of the polynomial, then so is 1 - i.
.
Here, a is any non-zero constant.