Identify the greatest common factor for the binomial:

Question

10s^6 + 6s^2

Responses

2
2

2s2
2 s squared

s
s

3s3

Answer 1

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).