Question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
10s^3+6s^2

Answer 1

To factor out the greatest common factor (GCF) from the polynomial \(10s^3 + 6s^2\), we first need to find the GCF of the coefficients and the variable terms.

The coefficients are 10 and 6. The GCF of 10 and 6 is 2.

For the variable \(s\), the smallest power of \(s\) in the terms is \(s^2\).

Thus, the GCF of the entire expression is \(2s^2\).

Now, we can factor out \(2s^2\) from the polynomial:

\[
10s^3 + 6s^2 = 2s^2(5s + 3)
\]

So the factored form is:

\[
2s^2(5s + 3)
\]