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# Polynomials watch

1. Hey,

My question is:

When P(x) is divided by (x-1)(x+2) the remainder is 2x+3
-What is the remainder when it is divided by (x-1)

I have tried various techniques, and I can't get an answer.

Thank you!!!
2. When P(x) is divided by (x-1)(x+2) the remainder is 2x+3 means:
P(x) = (x-1)(x+2)Q(x) + 2x+3
where Q(x) is some polynomial.

Find the remainder when 2x+3 is divided by (x-1) and think about how that relates to the remainder when P(x) is divided by (x-1).
3. Alternatively, by the Remainder Theorem, the remainder of P(x) upon division by (x-a) is P(a) for some constant a. Here a is 1.Use that to find the remainder...
4. (Original post by Cycy12)
Thank you!!!
As Pronged Lily said.

may assist understanding.
5. (Original post by ghostwalker)
As Pronged Lily said.

may assist understanding.

So, do i just divide 2x+3 by x+1 and look at this remainder?
6. (Original post by Pronged Lily)
Alternatively, by the Remainder Theorem, the remainder of P(x) upon division by (x-a) is P(a) for some constant a. Here a is 1.Use that to find the remainder...
But I don't know what P(x) is so I cannot subsititute a...

7. (Original post by Cycy12)

So, do i just divide 2x+3 by x+1 and look at this remainder?
Yes - as Pronged Lily said.

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