Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

Question: 1 / 400

Factor the expression 4x² - 12x.

4(x - 3)(x + 1)

4x(x - 3)

To factor the expression 4x² - 12x correctly, you first identify the greatest common factor (GCF) of the terms in the expression. The terms are 4x² and -12x. The GCF here is 4x.

Next, you can factor out the GCF from each term:

1. Dividing 4x² by 4x gives you x.

2. Dividing -12x by 4x gives you -3.

Putting this together, you factor 4x out of the expression:

4x² - 12x = 4x(x - 3).

This shows that the expression can be expressed as 4x multiplied by the polynomial (x - 3), which confirms that this is the correct factorization.

The other choices do not yield the correct factorization because they do not involve the same terms or misrepresent how the expression breaks down, especially in maintaining the factors that yield the original polynomial when expanded back.

Get further explanation with Examzify DeepDiveBeta

(2x - 6)(2x + 6)

(4x - 12)(x + 0)

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