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Answer :
To find the common factors of the expressions [tex]\(15x\)[/tex] and [tex]\(4s\)[/tex], we need to consider both the numerical coefficients and the variables.
1. Identify the Numerical Coefficients:
- For the expression [tex]\(15x\)[/tex], the numerical coefficient is 15.
- For the expression [tex]\(4s\)[/tex], the numerical coefficient is 4.
2. Find the Common Factors of the Numerical Coefficients:
- List the factors of 15: [tex]\(1, 3, 5, 15\)[/tex].
- List the factors of 4: [tex]\(1, 2, 4\)[/tex].
- The only common factor between 15 and 4 is 1.
3. Consider the Variables:
- The expression [tex]\(15x\)[/tex] includes the variable [tex]\(x\)[/tex].
- The expression [tex]\(4s\)[/tex] includes the variable [tex]\(s\)[/tex].
4. Combine the Common Numerical Factors with the Variables:
- The common numerical factor is 1.
- Since the variables are different ([tex]\(x\)[/tex] and [tex]\(s\)[/tex]), we can consider each variable separately as potential common factors. Even though [tex]\(x\)[/tex] and [tex]\(s\)[/tex] are different, when looking at the set of factors, we can include both variables as possibilities.
- Therefore, the common factors among these expressions can be considered as the set [tex]\(\{1, x, s\}\)[/tex].
In conclusion, the common factors of the expressions [tex]\(15x\)[/tex] and [tex]\(4s\)[/tex] are:[tex]\( \{1, x, s\} \)[/tex].
1. Identify the Numerical Coefficients:
- For the expression [tex]\(15x\)[/tex], the numerical coefficient is 15.
- For the expression [tex]\(4s\)[/tex], the numerical coefficient is 4.
2. Find the Common Factors of the Numerical Coefficients:
- List the factors of 15: [tex]\(1, 3, 5, 15\)[/tex].
- List the factors of 4: [tex]\(1, 2, 4\)[/tex].
- The only common factor between 15 and 4 is 1.
3. Consider the Variables:
- The expression [tex]\(15x\)[/tex] includes the variable [tex]\(x\)[/tex].
- The expression [tex]\(4s\)[/tex] includes the variable [tex]\(s\)[/tex].
4. Combine the Common Numerical Factors with the Variables:
- The common numerical factor is 1.
- Since the variables are different ([tex]\(x\)[/tex] and [tex]\(s\)[/tex]), we can consider each variable separately as potential common factors. Even though [tex]\(x\)[/tex] and [tex]\(s\)[/tex] are different, when looking at the set of factors, we can include both variables as possibilities.
- Therefore, the common factors among these expressions can be considered as the set [tex]\(\{1, x, s\}\)[/tex].
In conclusion, the common factors of the expressions [tex]\(15x\)[/tex] and [tex]\(4s\)[/tex] are:[tex]\( \{1, x, s\} \)[/tex].
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