Factor the quadratic expression 3x to the 2nd power + 9x + 6

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)