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Q: Division of polynomial by a polynomial?
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Which operation between two polynomials will not always result in a polynomial?

Division of one polynomial by another one.


How can you tell if a binomial divides evenly into a polynomial?

You can determine if a binomial divides evenly into a polynomial by using the remainder theorem or synthetic division. If the remainder is 0, then the binomial divides evenly into the polynomial.


When will you use polynomial long division in life?

In a mathematics exam.


A remainder of zero in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial. A. True?

true


How do nurses use polynomial division?

They don't. At least, not for their nursing work.


What does it mean for a polynomial to be closed under addition subtraction and multiplication?

It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.


If polynomial is not any number then how will you define a polynomial?

An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.


When a remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.?

The statement is not true.


What is polynomial division?

That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.


What are some examples in real life in which you might use polynomial division?

niga


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 are some examples in real life that you might use polynomial division?

Pharmacists and the makers of drugs use polynomial division. They use this type of division to help create formulas to make sure that the proper amount of drug is being distributed to the patients depending on the variables involved.