Question

The length of a rectangle is (3x2 + x - 3) units, and its width is (2x3 - 4x + 3) 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)

Answer 1

@tkhunny help please !

Answer 2

Area of a Rectangle is Length * Width. Just put them together with multiplication.

Answer 3

i already have part A

(3x2 + x - 3) (2x3 - 4x + 3)
16x5+2x4−18x3+5x2+15x−9

Answer 4

but i dont understand part b or c

Answer 5

What does "is closed under multiplication" mean? You multiply two polynomials and you ALWAYS get another polynomial. Does one example show or prove anything?

Answer 6

i dont know what any of that means, i dont know what a polynomial is

Answer 7

That is unfortunate. Why do you have a question on polynomial spaces if you don't know what a polynomial is? What class is this? Does it have a name? What were its prerequisites?

Answer 8

It is. It would be fortunate if someone helped me. This is obviously math, my 3rd time taking it

Answer 9

So if you are not going to help me please let me know so I can tag someone else, with all due respect.

Answer 10

I absolutely do not understand this problem in that context. This problem could stump some math majors in their third year of college. I expect most of them would get it, but some would miss a subtle point.

Okay, VERY ROUGHLy, a polynomial is something that looks rather like those two things with which we started this problem. It has ONLY Whole Numbers as exponents on the variables.

(3x2 + x - 3) This is a polynomial with three terms, 3x^2, x and -3
(2x3 - 4x + 3) This is a polynomial with three terms, 2x^3, -4x and 3

Are you with me on that? It's an important characteristic of polynomials. You should be able to identify the individual terms.

Answer 11

Thats part B ?

Answer 12

First of all, is my answer to Part A correct ?

16x5+2x4−18x3+5x2+15x−9

Answer 13

You're getting ahead of yourself. If you don't know what a polynomial is, you cannot answer Part B.

Answer 14

Is my answer to part a correct ?

Answer 15

Not bad. Only the leading coefficient is incorrect. 2*3 = 6. Could be only a typo.

What do you think about 6x5+2x4−18x3+5x2+15x−9? Is that a polynomial? If so, how many terms has it?

Answer 16

First I need to know is part A is correct to move on to part b

Answer 17

If you want to control the direction of this conversation, we are not going to get very far. You should just answer my questions and quit trying to move too quickly in a direction that you admittedly do not understand.

I ask again, 6x5+2x4−18x3+5x2+15x−9

Is that a polynomial? If so, can you identify its terms?

Answer 18

If you dont want to talk to me you can go. However, for my sake and benefit I will answer your questions since they are oh so important. Yes it is and No I cannot.

Answer 19

Okay, we need to learn how to do that. Otherwise, we cannot identify a polynomial when we encounter one. Look at the two examples above. I identified each of their three terms. Please identify the six ter4ms in this polynomial.

Answer 20

Not being able to identify a polynomial would just be tragic! The horror; and I dont see any examples.

Answer 21

I'll ignore your disdain.

Repeated for your convenience.

(3x2 + x - 3) This is a polynomial with three terms, 3x^2, x and -3
(2x3 - 4x + 3) This is a polynomial with three terms, 2x^3, -4x and 3

Answer 22

Its called humor, ignoring something doesnt make it better.
Now we have the answer to part b, yay, finally.

Answer 23

It wasn't funny. It may expose your desire actually to learn this material. If you REALLY want to fail again, just go with that. If you would like to pass, I recommend a little better focus. If you are asking for help, and truly would like to be helped, try to stay on task and FAR LESS distracted.

We do NOT have an answer to "B". You have not answered my question.

I ask again, 6x5+2x4−18x3+5x2+15x−9

This is a polynomial with six terms. Can you identify its terms?

Answer 24

Was to me, and I dont have the desire to learn this at all. My future is assured and this is not part of any of my majors. Ill have an accountant do all this math I will never need to do for me, its the truth. I am only doing this class to graduate.

I answer again, I cannot identify the terms.. i dont even know what a term is

Answer 25

Logically, but your own words, graduation is not important to you. Do you want to get through this or not? You really should make up your mind. Perhaps you're not trying.

Let's try this...

(3x2 + x - 3) This is a polynomial of Degree 2, since the greatest exponent on any one term is 2.

(2x3 - 4x + 3) This is a polynomial of Degree 3, since the greatest exponent on any one term is 3.

Now, it's your turn. Fill in the blanks:

6x5+2x4−18x3+5x2+15x−9

This is a polynomial of Degree _____, since the greatest exponent on any one term is ___.

If you cannot answer this question, you CANNOT answer Part C. Yes, I realize we have not yet accomplished Part B. I'm trying to get you to give me anything to work with. So far, you are quite resistant.

Answer 26

It is, I will graduate even if I fail this class again because well I have my ways.

Degree 5

Answer 27

If you REALLY feel that way, why bother with this class? It's an awful lot of effort for what seems to be meaningless to you.

Example 1)
In 1983, Brooke Shields abandoned her career as a model to attend Princeton University, where she graduated with a bachelor's degree in French literature.

Example 2)
Cindy Crawford graduated from DeKalb High School in 1984, as valedictorian.

Example 3)
For her education, Iman attended high school in Egypt and later lived in Kenya, where she studied political science at the University of Nairobi. Iman is fluent in five languages: Somali, Arabic, Italian, French and English.

Education is important - even if it doesn't seem to be directly related.

Answer 28

Okay, now you have part C.

How about B?

Answer 29

Good luck. I have to be on my way. We did get somewhere.

Answer 30

I dont care about other people, I care about myself. No one even knows who they are or even care for that matter.. I thought that was part b?

Answer 31

Paying attention is part of what you should be learning.