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#1 2012-09-24 23:01:24

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,744
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Remainder Theorem

If r and s be the remainders when the polynomial

and
are divided by (x+1) and (x-2) respectively and 2r + s = 6
Then find the value of a

P.S: Sorry it should have been x + 1

Is the answer 2 or something else?

Last edited by Agnishom (2012-09-24 23:34:59)


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#2 2012-09-24 23:23:24

bob bundy
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Registered: 2010-06-20
Posts: 7,055

Re: Remainder Theorem

put x = -1

Do a similar thing for the other and then substitute into the equation for r and s to get a

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2012-09-24 23:35:46

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,744
Website

Re: Remainder Theorem

I just edited the last post there were errors
I am sorry for that


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#4 2012-09-24 23:54:25

bob bundy
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Registered: 2010-06-20
Posts: 7,055

Re: Remainder Theorem

No worries.  I've edited post 2 for this.

I make it a = -4/10  and I've checked it back in the cubics. 

Maybe you should post your expressions for r and s.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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