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#1 2024-05-21 02:20:34

mathxyz
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From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Dividing A Polynomial By x - c

Problem 28; page 62.

This is just a discussion set of questions.

1. When dividing a polynomial by x - c, do you prefer to use long division or synthetic division?

2. Does the value of c make a difference to you in choosing?

Last question for today.

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#2 2024-05-21 05:45:41

Bob
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Registered: 2010-06-20
Posts: 10,621

Re: Dividing A Polynomial By x - c

Long division every time.

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 smile

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#3 2024-05-21 08:19:12

Phrzby Phil
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From: Richmond, VA
Registered: 2022-03-29
Posts: 50

Re: Dividing A Polynomial By x - c

I agree - long division.  Synthetic, while a cool idea that it works, is unnecessary, and for students with so much else to learn in the course, just a lot of clutter.


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#4 2024-05-21 09:11:19

mathxyz
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From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Re: Dividing A Polynomial By x - c

Bob wrote:

Long division every time.

Bob

Ok. Why long division for you?

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#5 2024-05-21 09:12:57

mathxyz
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From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Re: Dividing A Polynomial By x - c

Phrzby Phil wrote:

I agree - long division.  Synthetic, while a cool idea that it works, is unnecessary, and for students with so much else to learn in the course, just a lot of clutter.

What if you are taking a test and there are 5 minutes left?
Synthetic division leads you to the answer faster in place of guessing incorrectly.

You say?

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#6 2024-05-21 09:54:16

Bob
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Registered: 2010-06-20
Posts: 10,621

Re: Dividing A Polynomial By x - c

(1) I plan my test time better than that so I'd have 10 minutes.

(2) Because I can see all the powers of x and I'm very neat with the layout I'm much less likely to make an error.

(3) I hate learning new stuff so if I've got a working method I like to stick to 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 smile

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#7 2024-05-21 14:32:06

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Re: Dividing A Polynomial By x - c

Bob wrote:

(1) I plan my test time better than that so I'd have 10 minutes.

(2) Because I can see all the powers of x and I'm very neat with the layout I'm much less likely to make an error.

(3) I hate learning new stuff so if I've got a working method I like to stick to it.

Bob

Ok. Very good. You are smart.

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