Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 6d^2-10d square

To factor out the greatest common factor from the polynomial \(6d^2 - ), we first identify the greatest common factor of the coefficients and the variable terms.<br /><br />1. The coefficients are 6 and 10. The greatest common factor of 6 and 10 is 2.<br />2. The variable terms are \(d^2\) and \(d\). The greatest common factor of \(d^2\) and \(d\) is \(d\).<br /><br />Therefore, the greatest common factor of the entire polynomial is \(2d\).<br /><br />Next, we factor out \(2d\) from each term in the polynomial:<br /><br />\[ 6d^2 - 10d = 2d(3d) - 2d(5) \]<br /><br />So, the factored form of the polynomial is:<br /><br />\[ 2d(3d - 5) \]<br /><br />Thus, the answer is:<br /><br />\[ \boxed{2d(3d - 5)} \]