Find the GCF of the expression.
3a^(2)+9
A. 3
B. a
C. a + 3
D. 3a
The GCF (Greatest Common Factor) of the expression 3a^2 + 9 is 3. This means the answer is A. 3
To find the Greatest Common Factor (GCF) of the expression 3a^2 + 9, we need to factor out the common factors.
Step 1: Look for the common factors of the terms. In this case, the terms 3a^2 and 9 both have a factor of 3.
Step 2: Factor out the common factor from both terms. We can write the expression as:
3(a^2 + 3)
Step 3: Simplify the expression. Since there are no other common factors, the GCF is 3.
Therefore, the correct answer is A. 3.
To find the greatest common factor (GCF) of the expression 3a^(2) + 9, we need to find the highest common factor that both terms share.
Step 1: Factor out the common factor from each term.
In this expression, both terms have a common factor of 3. We can factor out a 3 from each term, resulting in:
3(a^(2)/3) + 3(9/3)
Step 2: Simplify each term.
The first term simplifies to a^(2)/3, and the second term simplifies to 9/3, which is equal to 3.
Step 3: Combine the simplified terms.
Since both terms now have a factor of 3 in common, we can factor that out:
3(a^(2)/3 + 3)
So, the GCF of the expression 3a^(2) + 9 is 3. Therefore, the correct answer is A. 3.