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)

109 is the nearest whole number/final answer! : )