Final answer:
The expression 2x² - 6x is factored by taking out the greatest common factor (GCF): 2x, resulting in the factored form 2x(x - 3).
Step-by-step explanation:
To factor the expression 2x² - 6x, we look for the greatest common factor (GCF) that can be taken out of both terms. Here, both terms can be divided by 2x, which is the GCF. By factoring out 2x, the original expression can be rewritten as:
2x(x - 3)
Therefore, the factored form of the expression is 2x(x - 3), which corresponds to option 1) from the provided choices.