Question

Please simplify using long division (showing all work) : (8b^3 -6) / (2b-1).

Thank you.

Answer 1

.....4b^2 + 2b + 1
....._____________________
2b-1 [8b^3 + 0b^2 + 0b - 6
......8b^3 - 4b^2
.............4b^2 + 0b
.............4b^2 - 2b
....................2b - 6
....................2b - 1
.........................5 remainder