Answer:
3(x + 1)(x + 2)
Step-by-step explanation:
Given
3x² + 9x + 6 ← factor out 3 from each term
= 3(x² + 3x + 2) ← factor the quadratic
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
2 × 1 = 2 and 2 + 1 = 3, thus
x² + 3x + 2 = (x + 1)(x + 2) and
3x² + 9x + 6 = 3(x + 1)(x + 2)
