Find a Polynomial with Real Coefficients that has the Given Zeros

Learn how to write a polynomial with real coefficients given zeros. We discuss how if one of the zeros is a complex number how it needs to be paired with it's complex conjugate in order for the coefficients of the polynomial to be real. Also discussed is the connection between zeros and factors. And we also discuss a short cut technique for multiplying the factors together to get the polynomial in standard form.

Related Videos to Help You Succeed!:

Imaginary Numbers Playlist

Take Your Learning to the Next Level with Me!:

Firstly, If you like my teaching style Subscribe to the Channel

Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)

Learn Algebra 1 Video Course

Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

[louisalston]

Mario mate you are an absolute legend. I've been trying to solve a question like this with the uni resources for days and then you nail the concept for me in less than a minute. Champion!

[robertdima]

I cant believe how underated you are. Your explaining is top notch.

[zlcoolboy]

I was so confused about this question when it came up, copy and pasted the question and now I understand it in less than 4 minutes of reading the question. Good video!!

[IsabelRodriguez-nvue]

Thank you so very much for explaining these concepts. It is greatly appreciated!!!

[mypoliticsofshit]

I have been on youtube looking for a video on this for literally an hour and finally found this video😅 thank you!!

[Kiinky_shotz]

THANK YOU SO MUCH YOU EXPLAINED THIS WAY BETTER THAN ALEKS! 😭😭😭

[beezerb]

thank you very much A+ so much better than my math teacher

[MrDJSx]

This was so helpful short sweet and to the point!!! Thank you so much.

[harishanand]

Mario you are saving me for my midterm tomorrow. P.S. the whiteboard sounds so satisfying.

[TrueSpeak-TS]

Thanks for the amazing video!
slight question, 2:15 what does foil out mean? does it mean something like unwrap? got it, maybe not looking at the definition literally helps, hmm

[sweethomealabama]

Thanks for the refresher. I now tend to forget things easily haha 😅

[gabrielasoler]

Hello! Can you make a video explaining the inch ruler? My school only taught me the metric system :( Thank you.

[ChessQuickies]

hey mario
why is it that at 1:39 the 2i and x-1 cancel?
thanks

[lydia]

1:31 im confused on why this would be (x-1)^2.