Answer:
f(x) = (x + 1)(x + 2)
Explanation:
Given
f(x) = x² + 3x + 2
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are + 1 and + 2, since
1 × 2 = 2 and 1 + 2 = 3, thus
f(x) = x² + 3x + 2 = (x + 1)(x + 2)