The factors of 3m2 + 9m + 6 are: | Algebra-2

1. First, factor out the greatest common factor (GCF) from the quadratic expression

.
- The coefficients of the terms

, and

are

, and

respectively. The GCF of

, and

.
- So, we can rewrite the expression as

.

2. Then, factor the quadratic expression inside the parentheses

.
- For a quadratic expression of the form

(in our case,

), we need to find two numbers that multiply to

(which is

) and add up to

(which is

).
- The two numbers are

and

since

and

.
- We can rewrite the middle - term

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Algebra-2