Write a Polynomial in Terms of Its Roots

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Explanations 7

Vieta's Formulas Introduction through Observation Let f(x)=x2+5x+6f(x)=x^2+5x+6f(x)=x2+5x+6. You may have noticed that the sum of the roots was −b=−5-b=-5−b=−5. You may also hav…
By Fiyi Adebekun, Expii Team, Catherine Yeo, Moor Xu, Victor Wang
Fun fact: the Binomial Theorem is a special case of Vieta's formulas when all of the roots are equal. Think about it, try expanding (x−a)n(x-a)^n(x−a)n! Use combinatorics to com…
By Cody Johnson, Victor Wang
The Binomial theorem is a theorem which is used to expand powers of a binomial expression (indicated as (x+y)n(x+y)^n(x+y)n). For example: (x+y)2=x2+2xy+y2(x+y)^2 = x^2+2xy+y^2(…
By Michael Yang, Victor Wang, Expii Team, Victor Wang, Joshua Siktar
Vieta's formulas for degree nnn polynomials, forwards and backwards I. Introduction Named after François Viète, Vieta's formulas are formulas that relate the coefficients of a p…
By Catherine Yeo, Benjamin Qi, Victor Wang, Anusha Rahman
Topic: Vieta’s formulas for cubics, forwards and backwards‾\underline{\text{Topic: Vieta's formulas for cubics, forwards and backwards}}Topic: Vieta’s formulas for cubics, forwa…
By Catherine Yeo, Victor Wang
(Video) Write a Polynomial Function in Terms of Its Roots by James Elliott In this video by James Elliott, you will learn to write a polynomial function in standard form by its …
By Anusha Rahman
Write a Polynomial In Terms of Roots In this lesson, we're going to learn how to write a polynomial when you are given its roots. Roots are the values of xxx that make a polynom…
By Anusha Rahman

Problems 5