- #1

henry3369

- 194

- 0

## Homework Statement

If I have the characteristic equation:

-λ

^{3}+ 3λ

^{2}+ 9λ + 5

And I'm told that one of its eigenvalues is -1.

How do I find the rest of the eigenvalues?

## Homework Equations

-λ

^{3}+ 3λ

^{2}+ 9λ + 5

## The Attempt at a Solution

The furthest I can get is:

-λ

^{3}+ 3λ

^{2}+ 9λ + 5 = (λ + 1) x (some factor of the original characteristic equation)

I can't seem to figure out what "some factor of the original characteristic equation" is. I tried it by inspection and I don't see how (λ + 1) helps. Is there some method that I'm missing to find that part?