Write the trinomial with the common factor factored out.?

If the trinomial is 6x^2 + 9x + 3, the common factor that can be factored out is 3.

Factoring out 3 from the trinomial, we get:

3(2x^2 + 3x + 1)

Example: Factor out the greatest common factor (GCF) from the following trinomial:

```
x^2 - 5x + 6
```

Step 1: Find the GCF of the coefficients.

The GCF of 1, 5, and 6 is 1.

Step 2: Factor the GCF out of each term.

```
x^2 - 5x + 6 = 1(x^2) + 1(-5x) + 1(6)
```

Step 3: Rewrite the trinomial with the GCF factored out.

```
= 1(x^2 - 5x + 6)
```

Therefore, the factored form of the trinomial is:

```
x^2 - 5x + 6 = (x - 3)(x - 2)
```