General Vieta's Formulas for Polynomials

Vieta's formulas express the coefficients of a polynomial as symmetric sums of the roots of the polynomial. We derive these useful formulas and show how to write them in a compact form.
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[@bot16136]

I remember that I did not understand the proof in my first undergrad year, now ~5 years later it took only 5 minutes on 2x speed to achieve full comprehension. Thanks!

[@ExistsforallAcademy]

We're glad that you found our explanation of Vieta to be useful. It's certainly a handy set of formulas for analyzing the relationship between the roots and coefficients of a polynomial, especially the boundary cases.

[@MagnusAnand]

Nice video

[@ExistsforallAcademy]

Thanks for the compliment, and for watching the video!

[@valqora]

Thanks!

[@ExistsforallAcademy]

You're welcome! Thanks for watching.

[@holyshit922]

Introduction to symmetric functions ?

[@mathematicalmonk1427]

Nice

[@ExistsforallAcademy]

Thanks for watching the video and commenting!

[@danielwang2617]

why am i supposed to be learning this 💀 im in middle school

[@ExistsforallAcademy]

Do you really have to learn the general version in middle school?!

[@shadowkiwi-gz6ji]

My Point Exactly-But No One Dares To Contradict The Brilliant Yet Demonic Math Teacher XDD