Perform the indicated divisions.

    8x³ - 6x² + 2x
  —————————————————
        4x + 1

Put " + 0 on " the end as a 
placeholder for the constant 
term:

    8x³ - 6x² + 2x + 0
  —————————————————————
          4x + 1


             2x² - 2x + 1  
4x + 1)8x³ - 6x² + 2x + 0
       8x³ + 2x²
            -8x² + 2x
            -8x² - 2x
                   4x + 0
                   4x + 1
                       -1

                                REMAINDER
Write the answer as QUOTIENT + ———————————
                                 DIVISOR 

                                  
                                  -1
                2x² - 2x + 1 + ————————
                                4x + 1

or

                                  1
                2x² - 2x + 1 - ————————
                                4x + 1

Edwin