I looked on a website and it says that terms that are divided by a variable could not be called a polynomial, but when i looked at my textbook there's a section in my book called division of polynomials and in there the terms that are divided by a variable is stated as a polynomial. Which one is the correct one?
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1Not clear. How does your textbook define a polynomial? Can you provide the exact wording of the statement you are querying? – sammy gerbil Apr 25 '20 at 00:01
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1Possible duplicate of What actually is a polynomial? – sammy gerbil Apr 25 '20 at 00:02
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3I take "division of polynomials" to mean dividing one polynomial by another to get a polynomial quotient and a polynomial remainder. Much like when you divide the integer $8$ by the integer $3$, you get $8/3$, which is not an integer, but you can phrase it as quotient $2$, remainder $2$, and those are both integers. – Gerry Myerson Apr 25 '20 at 00:47
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@GerryMyerson Oh how is it that by calling them with the expression quotient and remainder, it is a polynomial? – Dixon Apr 25 '20 at 04:54
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1It's exactly as with integers; if you divide $8$ by $3$, you get a quotient $2$, which is an integer, and a remainder $2$, which is an integer; $8/3$ isn't an integer, but that's irrelevant. Same exact thing happens with polynomials. – Gerry Myerson Apr 25 '20 at 05:42
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Is that OK, Dixon? – Gerry Myerson Apr 26 '20 at 11:37
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Are you still here, Dixon? – Gerry Myerson Apr 27 '20 at 13:25
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1yes thank you for the explanation – Dixon Apr 29 '20 at 00:19