The expression is excatly divisible by . When is divided by , the remainder is 8 more than when it is divided by . Factorise completely.

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- Apr 10th 2011, 08:56 AMIlsaRemainder theorem
The expression is excatly divisible by . When is divided by , the remainder is 8 more than when it is divided by . Factorise completely.

- Apr 10th 2011, 09:04 AMtopsquark
- Apr 10th 2011, 09:26 AMIlsa
- Apr 10th 2011, 01:48 PMtopsquarkQuote:

is excatly divisible by .

leaves no remainder. Thus

This gives a remainder of c, but f(x) is divisible by x, thus c = 0.

You can do this quicker by using the fact that if f(x) is divisible by x - r then f(r) = 0. In this case r = 0, so f(0) = 0.

-Dan