Following the directions, we find by factoring 2 out of both terms that the coefficient for b changes from 2 to 1. When the 2 moves from 2b+8 to 2(b+4), it's no longer a coefficient. The coefficient of a variable without a number to its immediate left is 1.
Hi, is it asking for the leading coefficient? Is there more to the problem not stated? The leading coefficient would be 2 based on the information you've given. 8 would just be the constant. If it mentions factoring and you factor it in this form: 2(b+4) then perhaps it is 1 however I don't quite understand the problem with the information given.