Can someone help how to solve this math question?

Question

Divide. Your answer should give the quotient and remainder

(24x^3 + 16x^2+10x +1)/(6x-2)
Thanks!!

Answer 1

DIVIDE

given equatin (24x^3 + 16x^2+10x +1)/(6x-2)

                   6x -2)24x^3 + 16x^2+10x +1 (4x^2+ 4x +3

                          (-)24x^3-8x^2

                          -------------------

                                      24x^2 +10x +1

                                  (-)24x^2 -8x

                           ---------------------------

                                               18x +1

                                            (-)18x -6

                            ------------------------

                                                     +7

       quotient : 4x^2 +4x +3

       remainder: 7