Question

use the questions below to keep track of key concepts from this lessons study activity.

1. practice: organizing information

fill in the blanks to complete the steps.
how to use a table to multiply two polynomials

• step 1: use the ______ in one polynomial to label the columns (one term per column).
• step 2: label the ______ with the terms in the other polynomial (one term per row).
• step 3: multiply each ______ label by each row label to fill in all the entries.
• step 4: ______ all the products in the entries.
• step 5: ______ the sum, if possible.

Explanation:

To multiply two polynomials using a table, we follow these steps:

1. The terms of one polynomial are used to label the columns (each term per column).
2. The rows are labeled with the terms of the other polynomial (each term per row).
3. Each column label is multiplied by each row label to fill the table entries.
4. Then, we sum all the products from the entries.
5. Finally, we simplify the sum if possible (by combining like terms, for example).

Answer:

• Step 1: terms
• Step 2: rows
• Step 3: column
• Step 4: Sum
• Step 5: Simplify