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Finding Polynomials

  • Thread starter duki
  • Start date
  • #1
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Homework Statement



Find a polynomial with integer coefficient for which [tex]\sqrt(2) + i[/tex] is a zero.

Homework Equations



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?
 

Answers and Replies

  • #2
210
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Homework Statement



Find a polynomial with integer coefficient for which [tex]\sqrt(2) + i[/tex] is a zero.

Homework Equations



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?
how about (sqrt(2)+i)4?
 
  • #3
264
0
Ok, as an answer I got:

[tex]x^2 - 2 \sqrt{2}x + 2 - i[/tex]
Does that look right?
 
  • #4
264
0
Latex isn't working, so I got

x^2 - 2sqrt(2)x + 2 - i
 

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