Final answer:
To factor the trinomial x²-7x+12, find two numbers that multiply to 12 and add up to -7. The factored form is (x-4)(x-3).
Step-by-step explanation:
To factor the trinomial x²-7x+12, we need to find two numbers that multiply to 12 and add up to -7. The factors of 12 are 1, 2, 3, 4, 6, and 12. By trial and error, we can determine that the numbers -4 and -3 satisfy this condition.
Therefore, the factored form of the trinomial x²-7x+12 is (x-4)(x-3).