What is the greastest common factor of the following polynomial: 6x^2+18x typeyouranswer

To find the greatest common factor (GCF) of the polynomial \(6x^2 + 18x\), we need to identify the largest factor that divides both terms of the polynomial.<br /><br />First, let's factor each term separately:<br /><br />1. The term \(6x^2\) can be factored as:<br /> \[<br /> 6x^2 = 6 \cdot x \cdot x<br /> \]<br /><br />2. The term \(18x\) can be factored as:<br /> \[<br /> 18x = 6 \cdot 3 \cdot x<br /> \]<br /><br />Next, we identify the common factors in both terms:<br />- Both terms have a factor of \(6\).<br />- Both terms have a factor of \(x\).<br /><br />Therefore, the GCF of \(6x^2 + 18x\) is:<br />\[<br />6x<br />\]<br /><br />So, the greatest common factor of the polynomial \(6x^2 + 18x\) is \(6x\).