Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

3

a

2

+

6

a

To factor out the greatest common factor (GCF) from the polynomial \(3a^2 + 6a\), we first identify the GCF of the coefficients (3 and 6), which is 3. 

Now, we can factor 3 out of each term:

\[
3a^2 + 6a = 3(a^2 + 2a)
\]

So, the factored form is:

\[
3(a^2 + 2a)
\]

If you have any questions or need further details, let me know! Here are some related questions:

1. What is the process for finding the GCF of two numbers?
2. How would you factor a polynomial with three terms?
3. Can you explain what a polynomial is?
4. What is the significance of factoring in algebra?
5. How do you check if your factoring is correct?

**Tip:** Always look for the GCF first before attempting to factor a polynomial to simplify the process.

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

Discover how to factor the polynomial 3a^2 + 6a by identifying and extracting the greatest common factor. This guide covers essential algebra concepts and factoring techniques suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation