Answer:
see below. Quotient is (x +1).
Step-by-step explanation:
The general process is identical to numerical long division. You find a quotient term, multiply that by the divisor and subtract the result from the dividend to make a new dividend.
For polynomial long division, the quotient term is the ratio of the highest-degree terms of the dividend and divisor, so is easy to calculate without the guesswork involved in numerical long division.