To factor the expression \( 3x - 15 \) completely, we look for the greatest common factor (GCF) of the terms. 

1. The GCF of \( 3x \) and \( -15 \) is 3 because 3 is the largest number that divides both 3 and 15.

We factor out the GCF (which is 3) from each term:

\[ 3x - 15 = 3(x - 5) \]

So, the completely factored form of \( 3x - 15 \) is:

\[ 3(x - 5) \]

Would you like more details or have any questions?

Here are 8 related questions to further expand your understanding:
1. How do you factor the expression \( 6x - 18 \) completely?
2. What is the factored form of \( 4x - 20 \)?
3. How do you determine the GCF of the terms in a polynomial?
4. Factor the expression \( 9x + 27 \) completely.
5. What are the steps to factor a polynomial by grouping?
6. How do you factor \( 12x - 36 \) completely?
7. What is the completely factored form of \( 5x + 10 \)?
8. How do you factor the expression \( 8x^2 - 4x \) completely?

**Tip:** Always start by identifying and factoring out the greatest common factor from all terms in the polynomial before looking for other factoring methods.

Learn how to factor completely the expression 3x − 15 with a detailed step-by-step solution. This problem covers key algebraic concepts, including polynomials and factoring by identifying the greatest common factor (GCF). Suitable for students in Grades 7-9.

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