Math Is Fun Forum

rogerkitkit

Member

Registered: 2009-08-02

Posts: 11

synthetic division with divisor a non-linear function?

say for example

how can it be done by synthetic division?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: synthetic division with divisor a non-linear function?

Hi;

Go here to understand the process:
http://www.purplemath.com/modules/synthdiv.htm

But, look at your problem! You don't need synthetic division to do it! You can immediately write down the answer.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

rogerkitkit

Member

Registered: 2009-08-02

Posts: 11

Re: synthetic division with divisor a non-linear function?

Hi;

Go here to understand the process:
http://www.purplemath.com/modules/synthdiv.htm

But, look at your problem! You don't need synthetic division to do it! You can immediately write down the answer.

Hi:)

I've gone through the website but in the example there,the divisor are all of degree(linear).
How can i do this one?

and how can i write down the ans at once?

Anakin

Member

Registered: 2009-10-04

Posts: 145

Re: synthetic division with divisor a non-linear function?

That is the point. You CANNOT use synthetic division unless the divisor is linear.

Note that when you expand the divisor, it has a degree of 9. So in the end the divisor is two degrees higher than the dividend. I'm still relatively inexperienced in math so I may be incorrect but I don't think you can perform that division.

I guess you can just leave the answer as (4x^7 - 8x^6 + 4x^5 - 5x^3 + 2x^2 +3) / (2x^3 + x + 1)^3 .

Last edited by Anakin (2009-11-13 18:07:43)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: synthetic division with divisor a non-linear function?

Hi rogerkitkit;

You can write the answer down at once because the denominator is a 9 th degree poly while the numerator is a 7th degree.

The ans is 0 with a remainder of (4x^7 - 8x^6 + 4x^5 - 5x^3 + 2x^2 +3).

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.