That's a smart alternative actually....If you are uncomfortable with long division, you can try this method:
We know that a power 3 divided by power 1 will result in a power 2 polynomial with a remainder (some constant).
We can write the quotient tentatively as:
It is a good alternative to lengthy and sometimes troublesome long divisions.
That's great if you are good at spotting what coefficients to put in and balance. If you are completely lost starting from scratch (with constants to find) is perhaps a more 'direct' route, rather than fumbling around with constants (esp in exams).It seems so lengthy though...
How about this:
Essentially long division without the long division.