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Question

Match each expression with its greatest common factor.

4 − 6a
2a2 + 8a
12a2 − 8a
4a + 8
Greatest Common Factor
Expression
4a

4

2

2a

Answer 1

Here’s how to match each expression with its greatest common factor:

1. 4 − 6a:

   • Greatest Common Factor: 2
   • Explanation: The GCF of the coefficients (4 and -6) is 2.

2. 2a² + 8a:

   • Greatest Common Factor: 2a
   • Explanation: Both terms have a factor of 2 and the variable a, and the greatest common factor is 2a.

3. 12a² − 8a:

   • Greatest Common Factor: 4
   • Explanation: The coefficients (12 and -8) have a GCF of 4, and both terms include a factor of a, so the overall GCF is 4.

4. 4a + 8:

   • Greatest Common Factor: 4a
   • Explanation: The coefficients (4 and 8) have a GCF of 4, and the first term has a factor of a, making the overall GCF 4a.

Let’s summarize the matches:

• 4 − 6a → 2
• 2a² + 8a → 2a
• 12a² − 8a → 4
• 4a + 8 → 4a