Finding polynomial of a given degree with given zeros: complext zeros

Nov 2018
1
0
USA
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
 

skeeter

Math Team
Jul 2011
3,276
1,769
Texas
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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romsek

Math Team
Sep 2015
2,885
1,609
USA
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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May 2016
1,310
551
USA
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.