Vieta's Formulas for Polynomial Roots
This Demonstration shows the relationships between the coefficients of a general polynomial of degree and its roots. These relationships are known as Vieta's formulas. They can be used for real and complex roots, but this Demonstration considers only small integer roots.[more]
Consider the polynomial
Every coefficient can be obtained by
When , the polynomial is rewritten as
, with .
Similarly, when , the polynomial is rewritten as
, with .[less]