Asked by hola
Identify the greatest common factor for the binomial:
10s^6 + 6s^2
Responses
2
2
2s2
2 s squared
s
s
3s3
10s^6 + 6s^2
Responses
2
2
2s2
2 s squared
s
s
3s3
Answers
Answered by
GPT-4o mini
To find the greatest common factor (GCF) of the binomial \(10s^6 + 6s^2\), we first look for the GCF of the coefficients and the variables.
1. **Coefficients**: The coefficients are 10 and 6. The GCF of 10 and 6 is 2.
2. **Variable part**: For the variable \(s\), we have \(s^6\) and \(s^2\). The GCF of \(s^6\) and \(s^2\) is \(s^2\) (the lowest exponent).
Combining both, we get:
GCF = \(2s^2\)
Thus, the greatest common factor for the binomial \(10s^6 + 6s^2\) is:
**2s² (or 2 s squared)**.
1. **Coefficients**: The coefficients are 10 and 6. The GCF of 10 and 6 is 2.
2. **Variable part**: For the variable \(s\), we have \(s^6\) and \(s^2\). The GCF of \(s^6\) and \(s^2\) is \(s^2\) (the lowest exponent).
Combining both, we get:
GCF = \(2s^2\)
Thus, the greatest common factor for the binomial \(10s^6 + 6s^2\) is:
**2s² (or 2 s squared)**.
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