Answer:
3(- 6 + m)(- 4 + m)
Step-by-step explanation:
Given
72 - 30m + 3m² ← factor out 3 from each term
= 3(24 - 10m + m²)
To factor the quadratic
Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 6 and - 4, since
- 6 × - 4 = 24 and - 6 - 4 = - 10, hence
24 - 10m + m² = (- 6 + m)(- 4 + m) and
72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form
