Factor x^2 + 3x + 2

Factor the polynomial x^2 + 3x + 2 completely.

Answer: =

Step-by-Step Solution

Step 1 Identify Polynomial

x^2 + 3x + 2

Step 2 Quadratic Coefficients

a = 1, b = 3, c = 2

Step 3 AC Method

Find two numbers that multiply to a×c = 1 × 2 = 2

and add to b = 3

AC Method for factoring

Step 4 Find Factors

Numbers: 1 and 2

1 × 2 = 2 ✓

1 + 2 = 3 ✓

Step 5 Final Answer

(x + 1)(x + 2)