Polynomial Division Hand-Holding Needed!

Hi all, I have the following Polynomial Division question and not sure if I'm heading in the right direction with it. Its getting more complicated than my lessons have shown but here goes

So I've divided the highest power of by 3x and got which I've put above the 5x^2" alt="5x^2" />

I've then multiplied the by 3x + 1 to get and added this underneath and subtracted to give me a new remainder of

I've then taken the highest power of the remainder ( ) and divided by highest power of the divisor (3x) which gives me \frac{4x}{3}" alt="\frac{4x}{3}" />

I'm almost certain this is getting to complicated and thus I've gone wrong somewhere. Would someone mind letting me know if I'm on the right path please?

Thanks

Re: Polynomial Division Hand-Holding Needed!

and can anyone tell me why my TEX code is messed up in places please :-)

Re: Polynomial Division Hand-Holding Needed!

Quote:

Originally Posted by

**johncassell** I've then multiplied the

by 3x + 1 to get

and added this underneath and subtracted to give me a new remainder of

This is where your mistake is, you should get

Re: Polynomial Division Hand-Holding Needed!

thank you very much. Maybe I shouldn't be doing Polynomial Division if I still haven't grasped that -5 - 1 = -6 :-)

Thanks again!

John

Re: Polynomial Division Hand-Holding Needed!

Quote:

Originally Posted by

**johncassell** and can anyone tell me why my TEX code is messed up in places please :-)

You appear to have a number of errors in your color statements. Take this as an example: [/COLOR][COLOR=#333333][TEX]3x^3 + x^2[/TEX] [/COLOR][COLOR=#333333] .

-Dan

Re: Polynomial Division Hand-Holding Needed!

This is a simple division.It takes practice with several examples.Quotient is

x^2-2x+4