I've got no idea what Honors algebra is , maybe I do but I get math in dutch not in English
so this is what I think you can do
b²-7b-12/4b+4
D= 49-4x(1)x(12)
=49-48
=1
Square Root of D = 1
B1=4 or B2= 3
these solutions both go because 4b+4 exists with both these solutions .