What is the greastest common factor of the following polynomial: 9n^3+6n^2-10n GCR: typeyouranswer

To find the greatest common factor (GCF) of the polynomial \(9n^3 + 6n^2 - 10n\), we need to identify the largest factor that divides each term of the polynomial.<br /><br />First, let's factor each term individually:<br />- \(9n^3\) can be factored as \(9 \cdot n^3\).<br />- \(6n^2\) can be factored as \(6 \cdot n^2\).<br />- \(-10n\) can be factored as \(-10 \cdot n\).<br /><br />Next, we identify the common factors in each term:<br />- The coefficients are 9, 6, and -10. The GCF of these coefficients is 1 because there is no larger number that divides all three coefficients exactly.<br />- The variable part is \(n^3\), \(n^2\), and \(n\). The GCF of these variable parts is \(n\), since \(n\) is the highest power of \(n\) that divides each term.<br /><br />Therefore, the GCF of the polynomial \(9n^3 + 6n^2 - 10n\) is \(n\).<br /><br />So, the greatest common factor (GCF) is:<br />\[ \boxed{n} \]