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Ipatiy [6.2K]
3 years ago
5

When factored completely, the expression 3x? – 9x + 6 equivalent to is

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

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)

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