Answer by peter.petrov for Sum and product of roots of a polynomial
$a_n$ is not a root, it is the leading coefficient.Imagine the polynomial $(x-2)(x-3) = x^2 - 5x + 6$.The leading coefficient is $1$ but the roots are $2$ and $3$.This part of your argument is...
View ArticleSum and product of roots of a polynomial
Let's say we had a $n$th degree polynomial equation $a_{n}x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\cdots+a_2x^2+a_1x+a_0=0$, with $a$ being real coefficient. What would the sum and product of its roots be(in...
View Article
