When factored completely, the expression 3x? - 9x + 6

equivalent to

is

Step-by-step explanation:

The given quadratic expression is

3x² - 9x + 6

Dividing each term in the expression by 3 in order to simplify it further, it becomes

x² - 3x + 2 = 0

We would determine two numbers such that their sum or difference is - 3x and their product is 2x².

The two numbers are - 2x and - x.

Therefore,

x² - 2x - x + 2

x (x - 2) - 1 (x - 2)

(x - 1) (x - 2)

When the expression is factored completely, it is equivalent to

(x - 1) (x - 2)