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tropicaia

  • one year ago

I understand, just check please? A restaurant has x floors. The number of tables on each floor is 4 less than the number of floors. The number of chairs with each table is 1 less than the number of tables on each floor. The expression below shows the total number of chairs in the restaurant: x(x - 4)(x - 5) Part A: What does x(x - 4) represent? (4 points) Part B: What type of polynomial is x(x - 4)(x - 5)? (3 points) Part C: What is the degree of the polynomial x(x - 4)? (3 points)

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  1. tropicaia
    • one year ago
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    Part A: x(x - 4) represents the number of tables on all floors. Part B: THIS IS WHERE I'M CONFUSED

  2. tropicaia
    • one year ago
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    Should I simplify it, and then find what kind of polynomial, binomial, trinomial it is? If so, can you help me with that?

  3. UnkleRhaukus
    • one year ago
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    the highest power on x will tell you what type it is . if you expand it what will the highest power on x be?

  4. tropicaia
    • one year ago
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    Which step if first to expand it? Do I multiply (x-4)(x-5) first?

  5. UnkleRhaukus
    • one year ago
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    (you don't actually have to expand it, if you can recognise the highest order term will be x * x * x)

  6. tropicaia
    • one year ago
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    yeah, the degree would be three

  7. tropicaia
    • one year ago
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    yes?

  8. tropicaia
    • one year ago
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    I think I understand now, thank you for your help. :)

  9. UnkleRhaukus
    • one year ago
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    yep, all the other terms will be quadratic, linear, or constant but the cubic term is the only one that matters here

  10. UnkleRhaukus
    • one year ago
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    were the options polynomial, binomial, trinomial etc? if so, it is slightly different

  11. tropicaia
    • one year ago
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    Yeah, third degree trinomial. I got it thanks.

  12. UnkleRhaukus
    • one year ago
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    you do have to expand out the factors to determine the number of terms

  13. tropicaia
    • one year ago
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    The last part is 2nd degree

  14. UnkleRhaukus
    • one year ago
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    yes C is 2nd degree, but B is not a trinomial, (it is a cubic)

  15. tropicaia
    • one year ago
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    Oh. Thanks!

  16. UnkleRhaukus
    • one year ago
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    there are more than three terms if you expand it out

  17. tropicaia
    • one year ago
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    ?

  18. UnkleRhaukus
    • one year ago
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    ax^3 + bx^2 + cx + d

  19. UnkleRhaukus
    • one year ago
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    but maybe b c or d is zero?

  20. UnkleRhaukus
    • one year ago
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    to expand x(x - 4)(x - 5) yeah expand (x - 4)(x - 5), first

  21. tropicaia
    • one year ago
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    \[x^2 - 9x + 20\]

  22. tropicaia
    • one year ago
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    Then you multiply the whole thing by x and get \[x^3 - 9x^2 + 20x\]

  23. tropicaia
    • one year ago
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    yes?

  24. UnkleRhaukus
    • one year ago
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    yes good show,

  25. UnkleRhaukus
    • one year ago
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    so it was a trinomial after all

  26. tropicaia
    • one year ago
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    ok, good.

  27. UnkleRhaukus
    • one year ago
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    it's a trinomial because it has three terms and its a cubic (3rd order) because the highest power of x is three

  28. tropicaia
    • one year ago
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    yes. great!

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