# What Remainder Is Represented By The Synthetic Division Below

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The process is too slow to solve dozens of problems, especially when the problems are larger, such as dividing a fifth-degree polynomial by a third-degree polynomial. Is there a way to automate the creation of these box sections in the future?

## What Remainder Is Represented By The Synthetic Division Below

I can help with a partial answer: How to automate the problem. Formatting is pretty boring though. Your top row is the quotient and the square in the right column is the remainder. The computer algebra system SAGE, based on Python, can easily tell us the quotient and the remainder used

## Graphs Of Rational Functions

SAGE is not part of La. It should be downloaded to your device or simply accessed with a free Cocalc account. The code that runs in Cocalc looks like this:

. This allows the table to change the number of columns, because SAGE can calculate the number of non-zero terms to calculate the number of columns. The area model with an upper divisor (?) is treated in a similar way. The problem is calculated by

EDIT: In response to the comments below, I added a zero modulus term so that the exponents are the same in diagonals. I don’t know how to get the table format to handle vertical lines for some rows. I chose to color the cells to solve the problem

start Hammer001, Hammer, 1, 0, 1, 10, 1, Light (add some words here to get around) Hammer002, Hammer, 2, 0, 1, 10, 1, Heavy Hammer003, Hammer, 3, 0 , 1 , 10, 1, very heavy Longsword001, Longsword, 1, -1, 2, 75, 2, One-Handed Longsword002, Longsword, 2, -1, 2, 75, 2, Two-Handed Longsword003, Longsword, 3 , – 1, 2, 75, 2, three hands end