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anonymous
 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)
anonymous
 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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Part A: x(x  4) represents the number of tables on all floors. Part B: THIS IS WHERE I'M CONFUSED

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Should I simplify it, and then find what kind of polynomial, binomial, trinomial it is? If so, can you help me with that?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1the highest power on x will tell you what type it is . if you expand it what will the highest power on x be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which step if first to expand it? Do I multiply (x4)(x5) first?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1(you don't actually have to expand it, if you can recognise the highest order term will be x * x * x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah, the degree would be three

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think I understand now, thank you for your help. :)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1yep, all the other terms will be quadratic, linear, or constant but the cubic term is the only one that matters here

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1were the options polynomial, binomial, trinomial etc? if so, it is slightly different

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, third degree trinomial. I got it thanks.

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1you do have to expand out the factors to determine the number of terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The last part is 2nd degree

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1yes C is 2nd degree, but B is not a trinomial, (it is a cubic)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1there are more than three terms if you expand it out

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1ax^3 + bx^2 + cx + d

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1but maybe b c or d is zero?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1to expand x(x  4)(x  5) yeah expand (x  4)(x  5), first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then you multiply the whole thing by x and get \[x^3  9x^2 + 20x\]

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1so it was a trinomial after all

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1it's a trinomial because it has three terms and its a cubic (3rd order) because the highest power of x is three
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