Factoring polynomials 3x^2+42x+72

3 (x + 12) (x + 2)

Step-by-step explanation:

Given

3x² + 42x + 72 ← factor out 3 from each term

= 3 (x² + 14x + 24) ← factor the quadratic

Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x - term.

The factors are + 12 and + 2, since

12 * 2 = 24 and 12 + 2 = 14, thus

x² + 14x + 24 = (x + 12) (x + 2) and

3x² + 42x + 72

= 3 (x + 12) (x + 2) ← in factored form