Math Is Fun Forum

Agnishom

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From: Riemann Sphere

Registered: 2011-01-29

Posts: 25,002

Website

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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'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'
I'm not crazy, my mother had me tested.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,648

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

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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

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 25,002

Website

Re: Remainder Theorem

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

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'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'
I'm not crazy, my mother had me tested.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,648

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

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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