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Homework Statement
Was given a matrix
To find the eigenvalues I set up the characteristic equation
[-1-x | 7 | -5 ]
[-4 | 11-x | -6 ]
[-4 | 8 | -3-x]
With some dirty work I got this bad boy out, which I'm having trouble factoring
-x3+7x2-15x+9
Homework Equations
Looking for method to factor it, without aid of calculator
Or if there's a better way to determine the equation which will give me the factors without setting up a polynomial
The Attempt at a Solution
I tried the grouping method but that doesn't work since all I end up with is
-x2(x-7)+3(5x-3)