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)

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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)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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the highest exponent tells the degree. 2nd degree → x² → quadratic 3rd degree → x³ → cubic
I know that but how don't I figure that out because x(x - 4)(x - 5) is already factored..

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Other answers:

When you multiply them together, what will the highest exponent be?
\[x ^{2}\]
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.
Oh okay hang on a sec.
x^3
right
so then what type of polynomial is it?
I got \[x ^{3}-9x+20\] so it would be a third degree trinomial right?
yes
Okay thank you so much for your help!!
you're welcome

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