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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

Related questions

How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school Can understanding how to do one kind of division help you with the other?

Your dividing with variables now.


How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?

Polynomial division is actually quite similar to the method of long division that I was taught back in elementary school. Instead of simply using numbers as we did back then, there are variables to deal with as well. However, the process is effectively the same. We go through the problem term by term, just like in numerical long division.


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.


What is tropical math?

Tropical math is a kind of arithmetic and algebra in which addition of two number is their minimum and multiplication is their sum. This has some properties similar to ordinary arithmetic and algebra but other properties are different.


What substances have different division on the basis of composition?

Suspensions: substances with similar viscosities, but different specific weights.


How are arithemetic and geometric sequences similar?

how are arithmetic and geometric sequences similar


Why is it important to simplify radical expressions before subtracting or adding and how is adding a radical expression similar to adding a polynomial expression and provide an example?

Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify..


How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?

How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.


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.


What are arithmetic series?

An arithmetic series is a fairly similar to an arithmetic sequence except for the fact that in a series you are adding the numbers in between, not putting commas. Example: Sequence 1,3,5,7,.........n Series 1+3+5+7+..........+n Hope this helped(:


How is cell division similar to your life cycle?

Cell division is similar to your life cycle because you are made of up cells and cells reproduce which humans reproduce. That is how cell division is related to your life cycle.


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.