To factor the expression \( x^2 - 121x \), we can start by rearranging it into the form \( x^2 + ax + b \) and then apply factoring techniques.
The given expression is:
\[ x^2 - 121x \]
To factor this, we can first factor out \( x \):
\[ x(x - 121) \]
Since you specifically asked for the factorization in the form \( (x + a)(x + b) \), we can express \( x - 121 \) as \( x + (-121) \). Thus, we rewrite it as:
\[ x(x + (-121)) \]
In this factorization, we can interpret:
- \( a = 0 \)
- \( b = -121 \)
So the values of \( a \) and \( b \) are:
\[ a = 0, \quad b = -121 \]