anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
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misty1212
  • misty1212
HI!!
anonymous
  • anonymous
Hi
misty1212
  • misty1212
make up two polynomials any polynomials

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misty1212
  • misty1212
then 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"
anonymous
  • anonymous
(21+48x)*(36+12x)
misty1212
  • misty1212
it says "addition" right? not multiplication
anonymous
  • anonymous
oh good point
misty1212
  • misty1212
so you could have maybe \[(21+48x)+(36+12x)\] as an addition using your example
anonymous
  • anonymous
okay
misty1212
  • misty1212
when you add you get another polynomial, namely \[57+50x\]
misty1212
  • misty1212
you also get another polynomial when you multiply
misty1212
  • misty1212
and when you subtract
misty1212
  • misty1212
but NOT when you divide

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