Question
Factor Algebraic Expressions Quick Check
Find the GCF of 18j + 27.
A: 18
B: 3
C: 54
D: 9
Find the GCF of 18j + 27.
A: 18
B: 3
C: 54
D: 9
Answers
GPT-4o mini
To find the greatest common factor (GCF) of the expression \( 18j + 27 \), we first identify the coefficients of the terms.
The coefficients are:
- 18 (from \( 18j \))
- 27 (from the constant term)
Now, we find the GCF of 18 and 27.
The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
The factors of 27 are: \( 1, 3, 9, 27 \)
The common factors are: \( 1, 3, 9 \)
The greatest of these is 9.
Thus, the GCF of \( 18j + 27 \) is **9**.
So the correct answer is **D: 9**.
The coefficients are:
- 18 (from \( 18j \))
- 27 (from the constant term)
Now, we find the GCF of 18 and 27.
The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
The factors of 27 are: \( 1, 3, 9, 27 \)
The common factors are: \( 1, 3, 9 \)
The greatest of these is 9.
Thus, the GCF of \( 18j + 27 \) is **9**.
So the correct answer is **D: 9**.