Fill in the Blank 12.5 points What is the greastest common factor of the following polynomial: 54x+30 typeyouranswer

To find the greatest common factor (GCF) of the polynomial \(54x + 30\), we need to determine the largest number that divides both terms without leaving a remainder.<br /><br />First, let's factor each term:<br />- The factors of \(54x\) are \(54 \cdot x\).<br />- The factors of \(30\) are \(2 \cdot 3 \cdot 5\).<br /><br />Next, we identify the common factors between the two terms:<br />- The common factors of \(54\) and \(30\) are \(2\) and \(3\).<br /><br />Therefore, the GCF of \(54x\) and \(30\) is \(2 \cdot 3 = 6\).<br /><br />So, the greatest common factor of the polynomial \(54x + 30\) is \(6\).