Answer:
6(w - 12)(w + 1)
Explanation:
6w² - 66w - 72 ← factor out 6 from each term
= 6(w² - 11w - 12) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the w- term (- 11)
The factors are - 12 and + 1 , since
- 12 × 1 = - 12 and - 12 + 1 = - 11 , then
w² - 11w - 12 = (w - 12)(w + 1) , so
6w² - 66w - 72 = 6(w - 12)(w + 1) ← in factored form