Question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
6b^2+5b

Answer 1

To factor out the greatest common factor from the polynomial \(6b^2 + 5b\), we first identify the common factor in both terms.

The coefficients are 6 and 5, and the variables have \(b^2\) and \(b\). The greatest common factor of the coefficients 6 and 5 is 1, and the greatest common factor of \(b^2\) and \(b\) is \(b\).

Thus, the greatest common factor for the entire polynomial is \(b\).

Now, we factor \(b\) out of each term:

\[
6b^2 + 5b = b(6b + 5)
\]

So, the factored form is:

\[
b(6b + 5)
\]