Remainder Theorem

• Mar 20th 2007, 04:28 PM
Trentt
Remainder Theorem
"Use the remainder theorem to find the remainder quickly when the polynomial on the left is divided by the linear binomial on the right"

1. x^5 - 3x^2 + 14 by (x+2)

2. x^51 + 51 by (x+1)

I have absolutely no clue how to either of these...Thanks
• Mar 20th 2007, 04:33 PM
jonannekeke
Quote:

Originally Posted by Trentt
"Use the remainder theorem to find the remainder quickly when the polynomial on the left is divided by the linear binomial on the right"

1. x^5 - 3x^2 + 14 by (x+2)

2. x^51 + 51 by (x+1)

I have absolutely no clue how to either of these...Thanks

for the first one you substitue x=-2 because of some reason that i can't remember and for the second you substitue x=-1 for the same reason, it should give you the remainder.
• Mar 20th 2007, 06:33 PM
Trentt
I need you to be a bit more specifi; I have to show proper work on my test.
• Mar 20th 2007, 06:35 PM
Jhevon
Quote:

Originally Posted by jonannekeke
for the first one you substitue x=-2 because of some reason that i can't remember and for the second you substitue x=-1 for the same reason, it should give you the remainder.

that's nice! "i don't know why, i just know"

it's alright though. you're the man jonannekeke :)
• Mar 20th 2007, 07:01 PM
ThePerfectHacker
Quote:

Originally Posted by Jhevon
that's nice! "i don't know why, i just know"

With that type of atitude I can solve the Birch-Swinnerton Dyer conjecture.
• Mar 20th 2007, 07:03 PM
Jhevon
Quote:

Originally Posted by Trentt
I need you to be a bit more specifi; I have to show proper work on my test.

see this, if you still don't get it, get back to me Remainder Theorem
• Mar 21st 2007, 02:14 AM
jonannekeke
In my text book it says:

If a polynomial f(x) is divided by (ax - b) then the remainder is f(b/a)