Answer:
2x(x + 2)(x + 3)
Step-by-step explanation:
2x³ + 10x² + 12x ← factor out 2x from each term
= 2x(x² + 5x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 2 and + 3 , since
2 × 3 = 6 and 2 + 3 = 5
x² + 5x + 6 = (x + 2)(x + 3)
Then
2x³ + 10x² + 12x = 2x(x + 2)(x + 3)
