3 Fill in the Blank 12.5 points Whatis the greastest common factor of the following polynomial: 36x-8 GCF: typeyouranswer

To find the greatest common factor (GCF) of the polynomial \(36x - 8\), we need to determine the largest number that divides both terms in the polynomial.<br /><br />First, let's factor each term:<br />- The term \(36x\) can be factored as \(36 \cdot x\).<br />- The term \(-8\) can be factored as \(-1 \cdot 8\).<br /><br />Next, we find the GCF of the numerical coefficients:<br />- The factors of 36 are \(1, 2, 3, 4, 6, 9, 12, 18, 36\).<br />- The factors of 8 are \(1, 2, 4, 8\).<br /><br />The common factors of 36 and 8 are \(1, 2, 4\). The greatest common factor is \(4\).<br /><br />Therefore, the GCF of the polynomial \(36x - 8\) is \(4\).<br /><br />So, the answer is:<br />\[ \text{GCF: } 4 \]