# 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?

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## 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?

Ok, as an answer I got:

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

Latex isn't working, so I got

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