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 November 12th, 2018, 03:14 PM #1 Newbie   Joined: Nov 2018 From: USA Posts: 1 Thanks: 0 Finding polynomial of a given degree with given zeros: complext zeros I am stuck on this topic in pre-calculas class. I have practiced and read, watched videos and still stuck. Find polynomial f(x) of degree 4 with real coefficients and the follosing zeros -1,2,-3+i Thanks
November 12th, 2018, 03:23 PM   #2
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 Originally Posted by mathgeek83 I am stuck on this topic in pre-calculas class. I have practiced and read, watched videos and still stuck. Find polynomial f(x) of degree 4 with real coefficients and the follosing zeros -1,2,-3+i Thanks
if a polynomial has a complex zero of the form $a+bi$, then its conjugate $a-bi$ is also a zero.

zeros would be $\{ -1, 2, -3 + i, -3-i \}$

November 12th, 2018, 03:37 PM   #3
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 Originally Posted by skeeter if a polynomial has a complex zero of the form $a+bi$, then its conjugate $a-bi$ is also a zero. zeros would be $\{ -1, 2, -3 + i, -3-i \}$
Skeeter! good to see you sir.

Have a great set of holidays over the rest of 2018.

November 12th, 2018, 07:21 PM   #4
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 Originally Posted by skeeter if a polynomial with real coefficients has a complex zero of the form $a+bi$, then its conjugate $a-bi$ is also a zero. zeros would be $\{ -1, 2, -3 + i, -3-i \}$
Fixed it for you.

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