Factor x^2 - 5x + 6

Factor the polynomial x^2 - 5x + 6 completely.

Answer: =

Step-by-Step Solution

Step 1 Identify Polynomial

x^2 - 5x + 6

Step 2 Quadratic Coefficients

a = 1, b = -5, c = 6

Step 3 AC Method

Find two numbers that multiply to a×c = 1 × 6 = 6

and add to b = -5

AC Method for factoring

Step 4 Find Factors

Numbers: -3 and -2

-3 × -2 = 6 ✓

-3 + -2 = -5 ✓

Step 5 Final Answer

(x - 3)(x - 2)