Viet Theorem: Solve Math HL Problem, Explained & Resources

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The Viet theorem, often referred to as Viete's formulas, relates the coefficients of a polynomial to sums and products of its roots. It is particularly useful in solving problems involving quadratic equations, which is relevant for IB Math HL projects. Users expressed surprise at the lack of resources available online for this theorem. Clarification on the correct spelling of "Viete" was also noted, leading to shared links for further reading. Understanding Viete's formulas can enhance problem-solving skills in higher-level mathematics.
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Does anyone have a clue of what the Viet theorem is for? I did some research and apparently i could use this to solve a problem for my math PRoject (IB Math HL Year 2). The thing is, there seems to be nothing at all in the net, I am really surprised actually. So if anyone can gladly explain what this is and its fundamentals or even direct myself to a link that will be really appreciated. Or is that coz I am spelling it wrong??
 
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I knew I got te wrong spelling. Thanks a lot atyy.
 

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