Question

FAN AND MEDAL
Can someone please work through this with me??
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 type of polynomial is x(x - 4)(x - 5)? (3 points)

Part B: What is the degree of the polynomial x(x - 4)? (3 points)

Answer 1

@peachpi

Answer 2

the highest exponent tells the degree.
2nd degree → x² → quadratic
3rd degree → x³ → cubic

Answer 3

I know that but how don't I figure that out because x(x - 4)(x - 5) is already factored..

Answer 4

When you multiply them together, what will the highest exponent be?

Answer 5

\[x ^{2}\]

Answer 6

No. You have 3 different factors, all of which include an x. If you can't tell by looking, you may need to multiply them out.

Answer 7

Oh okay hang on a sec.

Answer 8

x^3

Answer 9

right

Answer 10

so then what type of polynomial is it?

Answer 11

I got \[x ^{3}-9x+20\] so it would be a third degree trinomial right?

Answer 12

yes

Answer 13

Okay thank you so much for your help!!

Answer 14

you're welcome