A monic quadratic polynomial has the form
p(x) = x2+bx+c. That was
in HTML. In MathML that equation looks like
of this polynomial have the form
If we suppose that
and are in ℝ, then
the roots are both real, or are complex conjugates.
In any case, the sum of the roots is
Now, every polynomial has a so-called
companion matrix associated with it.
In this case, one form of the companion
The reason this is called the companion matrix
It follows that the roots of
are exactly the eigenvalues of
Here is some SVG that has nothing to do with