Factoring a Trinomial into Two Binomials

How do you factor the expression below, can you also show how it is worked out
x2 - 5x + 6

x2- 5x + 6
factor into two binomials
- the first terms are factors of x2.....x and x
- the second terms (of the two binomials) when multiplied together equal 6,
 and when added together equal -5.......-3 and -2

therefore it factors into
(x - 3)(x - 2)

- Algebra House