To find the common factor in the expression [tex]\(5x^2 + 20x + 30\)[/tex], we can follow these steps:
1. Identify the coefficients and constant term in the expression:
[tex]\[
5x^2 + 20x + 30
\][/tex]
The coefficients are 5, 20, and 30.
2. List the factors of each of these numbers:
- Factors of 5: 1, 5
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
3. Identify the common factors:
The common factors of 5, 20, and 30 are 1 and 5.
4. Select the greatest common factor:
Among the common factors, the greatest one is 5.
Thus, the greatest common factor of the expression [tex]\(5x^2 + 20x + 30\)[/tex] is 5.
So, the correct answer is:
C. 5
