The area of a rectangular field is 2c3 − c2 + 6 square units. if the length of the field is c − 2 units, what is its width?

1) The area of the rectangular field is 2c^3 - c^2 + 6

2) The length is c - 2

3) Divide the area by the length to obtain the width:

   2c^3 - c^2 +           6    | c - 2
                                      
 -2c^3 + 4c^2                    2c^2 + 3c + 6

             3c^2 +         6
            -3c^2 + 6c
          
                        6c + 6
                       -6c + 12
                     
                               18

Given that the division is not exact (the residue is 18) you cannot determine an exact width.

So, I guess ther is a mistake in some of the given expressions. Just use the right expressions and use this procedure to get the answer.