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

#### 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

#### skeeter

Math Team
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 $\{ -1, 2, -3 + i, -3-i \}$

• 1 person

#### romsek

Math Team
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.

• 1 person

#### JeffM1

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.