Question

Divide f(x) by (x + 1), and show your work. do you have a remainder? if so, what is it?"

Answer 1

To divide f(x) by (x + 1) using polynomial long division and find the remainder, follow these steps.

Step-by-step explanation:

To divide f(x) by (x + 1), we can use polynomial long division. Here are the steps:

1. Arrange the terms in f(x) in descending order of powers of x.
2. Divide the first term of f(x) by (x + 1) and write the result as the first term of the quotient.
3. Multiply the quotient term by (x + 1) to get the product.
4. Subtract the product from the original polynomial f(x).
5. Repeat steps 2-4 with the new polynomial obtained in step 4 until you cannot divide anymore.
6. The remainder, if any, is the constant term obtained in the last step.

By following these steps, you will obtain the quotient polynomial and the remainder, if any.