Final answer:
To factorize the expression x^2 - 5x + 6, we can use the method of finding two numbers that multiply to 6 and add up to -5. The expression can be factorized as (x - 2)(x - 3).
Step-by-step explanation:
To factorize the expression x^2 - 5x + 6, we will look for two numbers that multiply to 6 and add up to -5, since the expression is in the form of ax^2 + bx + c.
These two numbers are -2 and -3. Therefore, we can factorize the expression as follows:
(x - 2)(x - 3)