# Finding Polynomials

## Homework Statement

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

## 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?

## Homework Statement

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

## 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?

consider (sqrt(2)+i)2...what are you left with after expanding and simplifying?
$$x^2 - 2 \sqrt{2}x + 2 - i$$