Step 1 :The FOIL method stands for First, Outer, Inner, Last. It's a way for remembering how to expand the product of two binomials.
Step 2 :The 'F' in FOIL stands for 'First', which means we need to multiply the first terms in each of the binomials.
Step 3 :In this case, the first terms are \(3x\) and \(2x\).
Step 4 :So, we multiply the first terms: \(3x * 2x = 6x^2\).
Step 5 :Therefore, the 'F' in FOIL when multiplying \((3 x+5)(2 x-1)\) is \(\boxed{6}\).