The divisor represented by the synthetic division shown as ‘5 5 x 5 x 5’ is ‘x – 5’.
In synthetic division, we typically divide by a linear polynomial of the form ‘x – c’, where ‘c’ is a constant. In this case, observing the numbers and the pattern, we see that ‘5’ is the constant, leading us to conclude that we are dividing by ‘x – 5’. This is a standard approach in polynomial division, allowing us to simplify our calculations significantly.