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anonymous
 one year ago
a. Think of polynomials as a system. For each of the following operations, determine whether the system is closed under the operation. In each case, explain why it is closed or provide an example showing that it isn’t.
1. Addition
anonymous
 one year ago
a. Think of polynomials as a system. For each of the following operations, determine whether the system is closed under the operation. In each case, explain why it is closed or provide an example showing that it isn’t. 1. Addition

This Question is Closed

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1make up two polynomials any polynomials

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1then add them, which is the same thing as "combine like terms" the result will also be a polynomial that means they are "closed under addition"

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1it says "addition" right? not multiplication

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1so you could have maybe \[(21+48x)+(36+12x)\] as an addition using your example

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1when you add you get another polynomial, namely \[57+50x\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you also get another polynomial when you multiply

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1and when you subtract

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1but NOT when you divide
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