# Homework Help: Finding Polynomials

1. Apr 19, 2009

### duki

1. The problem statement, all variables and given/known data

Find a polynomial with integer coefficient for which $$\sqrt(2) + i$$ is a zero.

2. Relevant equations

3. The attempt at a solution

I'm not sure where to really start with this one. It is on my review sheet, and I can't remember how to do it. Could someone give me a hand?

2. Apr 19, 2009

### GregA

consider (sqrt(2)+i)2...what are you left with after expanding and simplifying?

3. Apr 23, 2009

### duki

Ok, as an answer I got:

$$x^2 - 2 \sqrt{2}x + 2 - i$$
Does that look right?

4. Apr 23, 2009

### duki

Latex isn't working, so I got

x^2 - 2sqrt(2)x + 2 - i