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November 12th, 2018, 03:14 PM   #1
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Question 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

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November 12th, 2018, 03:23 PM   #2
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Originally Posted by mathgeek83 View Post
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 $\{ -1, 2, -3 + i, -3-i \}$
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November 12th, 2018, 03:37 PM   #3
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Originally Posted by skeeter View Post
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.
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November 12th, 2018, 07:21 PM   #4
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Originally Posted by skeeter View Post
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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