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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

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  1. misty1212
    • one year ago
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    HI!!

  2. anonymous
    • one year ago
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    Hi

  3. misty1212
    • one year ago
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    make up two polynomials any polynomials

  4. misty1212
    • one year ago
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    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"

  5. anonymous
    • one year ago
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    (21+48x)*(36+12x)

  6. misty1212
    • one year ago
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    it says "addition" right? not multiplication

  7. anonymous
    • one year ago
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    oh good point

  8. misty1212
    • one year ago
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    so you could have maybe \[(21+48x)+(36+12x)\] as an addition using your example

  9. anonymous
    • one year ago
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    okay

  10. misty1212
    • one year ago
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    when you add you get another polynomial, namely \[57+50x\]

  11. misty1212
    • one year ago
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    you also get another polynomial when you multiply

  12. misty1212
    • one year ago
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    and when you subtract

  13. misty1212
    • one year ago
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    but NOT when you divide

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