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Q: How is polynomial long division similar to and different from arithmetic long division?
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How syntheic division is like long division?

Having watched a video on synthetic division, which stated that: "In algebra, synthetic division is a method of performing polynomial long division." I don't think that they are similar.


How are quotients and products similar and different?

A quotient is the answer of a division question and the product is the answer of a multiplication question but they are the same because they are both an answer to a math problem.


How are a numerator and denominator similar?

They are elements of of a set which may consist of integers, real or complex numbers, polynomial expressions, matrices.


What is difference between the arithmetic operation and relationaloperation?

Arithmetic operations include addition, subtraction, multiplication, division. Relational operations include different comparisons between numbers (or sometimes other data types). There are six relational operations: equal, not-equal, less-than, greater-than, less-than-or-equal, greater-than-or-equal. One difference, which may help you remember the difference is that if you combine two numbers with an arithmetic operation, for example an addition, you get another number. On the other hand, if you compare two numbers, for example with "greater than", you are asking a question which will be answered with "yes" or "no" - which in computer languages are often called "true" and "false" or something similar.


How are the relationships of addition and subtraction similar to he relationship of multiplacation and division?

Multiplication is successive Addition Division is successive subtraction