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:
\[ b(6b + 5) \]
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