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mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Polynomial Horizontal & Vertical Addition & Subtraction Methods

What is the difference between horizontal and vertical addition methods in terms of polynomials?

Use both methods to add the following:

(8x^3 - 2x^2 + 6x  - 2) +  (3x^4 - 2x^3 + x^2 + x)

Use both methods to subtract the following:

(8x^3 - 2x^2 + 6x  - 2) -  (3x^4 - 2x^3 + x^2 + x)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Polynomial Horizontal & Vertical Addition & Subtraction Methods

I've never heard of this , so I'm guessing. If you just add across like terms (eg add or subtract the x^3 terms) I suppose that is horizontal. If you write one polynomial under the other, carefullly lining up like terms (eg put the cube terms one under the other) perhaps that's the vertical method.

Bob

ps.  I've got to log off now as I've got chores to do .

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Polynomial Horizontal & Vertical Addition & Subtraction Methods

I've never heard of this , so I'm guessing. If you just add across like terms (eg add or subtract the x^3 terms) I suppose that is horizontal. If you write one polynomial under the other, carefullly lining up like terms (eg put the cube terms one under the other) perhaps that's the vertical method.

Bob

ps.  I've got to log off now as I've got chores to do .

1. Please, don't feel pressured to answer my questions the same day they are posted. I understand that you have a life outside of the internet.

2. Yes, you are right in terms of horizontal versus vertical operations with polynomials.

3. Please, FREELY download the Michael Sullivan textbook so that we can both be on the same page.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Polynomial Horizontal & Vertical Addition & Subtraction Methods

I have got the pdf of the book.

When I log in and look at the Active or New posts I see a long list of yours; some new and some old ones.  I find it hard to keep track of which ones need a reply and which ones are just your sign off comment.  This is why I suggested numbering them.

Please understand, I'm not complaining about you asking for help. It makes me feel good to be able to provide it.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Polynomial Horizontal & Vertical Addition & Subtraction Methods

I have got the pdf of the book.

When I log in and look at the Active or New posts I see a long list of yours; some new and some old ones.  I find it hard to keep track of which ones need a reply and which ones are just your sign off comment.  This is why I suggested numbering them.

Please understand, I'm not complaining about you asking for help. It makes me feel good to be able to provide it.

Bob

Did you just download the book? Did you have it all along? If you had it all along, I could have given you the page number and the number of the exercises. Moving forward, I will provide the page number and the number for each exercise. It is better to select the even problems because like all math textbooks, only odd number problems have the answers listed in the back of the book.