A building has x floors. The number of apartments on each floor is 6 less than the number of floors. The number of rooms in each apartment is 1 less than the number of apartments on each floor. The expression below shows the total number of rooms in the building:
x(x - 6)(x - 7)

Part A: What does x(x - 6) represent?

Part B: What type of polynomial is x(x - 6)(x - 7)?

Part C: What is the degree of the polynomial x(x - 6)(x - 7)?

Question

A building has x floors. The number of apartments on each floor is 6 less than the number of floors. The number of rooms in each apartment is 1 less than the number of apartments on each floor. The expression below shows the total number of rooms in the building:
x(x - 6)(x - 7)

Part A: What does x(x - 6) represent? 

Part B: What type of polynomial is x(x - 6)(x - 7)? 

Part C: What is the degree of the polynomial x(x - 6)(x - 7)?

fairy733189 · Answer

@Mehek14

ineedhelplz · Answer

x(x-6) represents the no of apartments in building..

ineedhelplz · Answer

B. x-6=no of aprtments

(x-6)-1=x-7=no of rooms in each apartment

Third degree

fairy733189 · Answer

Thanks!!

mertsj · Answer

If you multiply x(x-6)(x-7) you will get:  x^3-13x^2+42x
The highest exponent is 3 so the degree of the polynomial is 3