What is the last step in polynomial long division?

The last step in polynomial long division is to write out the complete answer. This step is crucial because it consolidates all parts of the division process into a single expression that accurately represents the result of the division.

In polynomial long division, after dividing the leading terms, multiplying, and subtracting, you arrive at a quotient and a remainder. Writing out the complete answer involves combining the quotient and expressing the remainder in relation to the divisor. The final result is typically structured as:

[ \text{Quotient} + \frac{\text{Remainder}}{\text{Divisor}} ]

This ensures clarity and completeness in communicating the result of the division process, allowing anyone reviewing the work to easily interpret the outcome. It highlights both how many times the divisor fits into the dividend (the quotient) and the part that remains (the remainder).