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Mathematics 27 Online
OpenStudy (broskishelleh):

Hi can I has help?

OpenStudy (broskishelleh):

The length of a rectangle is (6x2 + 3x - 2) units, and its width is (x3 - 2x + 5) units. Part A: What is the area of the rectangle? Show your work. (5 points) Part B: Does the answer for Part A show that polynomials are closed under an operation? Justify your answer. (3 points) Part C: What is the degree and classification of the expression obtained in Part A? (2 points)

OpenStudy (broskishelleh):

@thomaster @dan815 @zepdrix

OpenStudy (imstuck):

Hi! I'll try to help!

OpenStudy (imstuck):

The area is the length times the width. They give you both, even though they are long and tedious!

OpenStudy (broskishelleh):

I got I got 6x^5 + 3x^4 - 14x^3 + 24x^2 + 19x - 10

OpenStudy (imstuck):

\[A=(6x ^{2}+3x-2)(x ^{3}-2x+5)\]You will have to multiply that all out to find the area. Crazy, huh? let me do it, too and I will be right back to you.

OpenStudy (broskishelleh):

I'm not that dumb\[But I am on a high level of Dumbness\]

OpenStudy (imstuck):

Good, that part A is correct.

OpenStudy (broskishelleh):

Ok what is part B?

OpenStudy (broskishelleh):

@IMStuck

OpenStudy (broskishelleh):

What was part B @dan815 because I got 6x^5 + 3x^4 - 14x^3 + 24x^2 + 19x - 10

OpenStudy (broskishelleh):

I don't think it shows closure though

OpenStudy (broskishelleh):

But does it?

OpenStudy (dan815):

B) do you know what closed under an operation means? C) = degree 5 polynomial

OpenStudy (broskishelleh):

Yes, like how even plus an even will always be even for a sum

OpenStudy (broskishelleh):

But this doesn't show closure as it expanded so much more that the original 2 polynomials

OpenStudy (broskishelleh):

@Whitemonsterbunny17

OpenStudy (dan815):

yeah its not closed then by your definition the classification is changing

OpenStudy (ikram002p):

ok , so for part b polynomials are closed under an operation? Justify your answer. yes the are , u multibly 2 polynomials and you got a polynomial as an answer

OpenStudy (dan815):

degree and the trinomial or whatever nthnomial is becoming a polynomial in your case, sometimes it can be even less than the original mial

OpenStudy (broskishelleh):

Thank you all so much!

OpenStudy (dan815):

i dunnooo.. tho we can argue that a polynomial * polynomial = polynomial in ur case so...

OpenStudy (dan815):

whats the answer ikramooo

OpenStudy (ikram002p):

dan its a closed set under × + - only devides that make doubt , how ever if you have a*b both polynomial then the degree of a*b = degree of the greatest power of a * the degree of greatest power of b

OpenStudy (dbzfan836):

Why not zoidberg

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