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: 2 and 3

2 × 3 = 6 ✓

2 + 3 = 5 ✓

Step 5 Final Answer

(x + 2)(x + 3)