"Use the remainder theorem to find the remainderquicklywhen 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

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- Mar 20th 2007, 05:28 PMTrenttRemainder 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, 05:33 PMjonannekeke
- Mar 20th 2007, 07:33 PMTrentt
I need you to be a bit more specifi; I have to show proper work on my test.

- Mar 20th 2007, 07:35 PMJhevon
- Mar 20th 2007, 08:01 PMThePerfectHacker
- Mar 20th 2007, 08:03 PMJhevon
see this, if you still don't get it, get back to me Remainder Theorem

- Mar 21st 2007, 03:14 AMjonannekeke
In my text book it says:

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

in your case:

Compare (x + 2) which is the same as (1x + 2) to (ax - b), so a=1, b=-2 and the remainder is f(-2/1)

Does that help?