Question

Describe two ways in which the long-division algorithm for polynomials is similar to the long-division algorithm for integers and then two ways in which the two algorithms are different.

Short answer

The long division algorithm to divide polynomial is analogous to the long division algorithm for integers.

Step-by-step solution

Step 1. Given Information

The given term is long-division algorithm for polynomials

Step 2. Explanation

Any two numbers can be divided as long as the divisor is not equal to 0.

similarly any two polynomial can be divided as long as the divisor is not equal to 0.

The long division algorithm to divide polynomial is analogous to the long division algorithm for integers.