The expression you've provided is a quadratic polynomial:
\[ x^2 - 4x - 5. \]
If you want to factor it, you can look for two numbers that multiply to \(-5\) (the constant term) and add up to \(-4\) (the coefficient of the linear term). The numbers that satisfy this are \(-5\) and \(1\).
So, you can factor the quadratic as follows:
\[ x^2 - 4x - 5 = (x - 5)(x + 1). \]
If you need to find the roots of the equation \(x^2 - 4x - 5 = 0\), you can set the factors equal to zero:
- \(x - 5 = 0 \Rightarrow x = 5\)
- \(x + 1 = 0 \Rightarrow x = -1\)
Thus, the roots of the equation are \(x = 5\) and \(x = -1\).
If you need help with anything else related to this polynomial, let me know!