Given that where a, b, c are constants. If P(x) , Q(x) is a polynomial with integer coefficient and P(0) = 2, find the values of a, b, and c.

The answer they gave is a = -3, b = -1 and c = 2 not a=-5, b=3

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- Jun 4th 2009, 04:06 AMmark1950[SOLVED] How to solve this question? Many thanks!
Given that where a, b, c are constants. If P(x) , Q(x) is a polynomial with integer coefficient and P(0) = 2, find the values of a, b, and c.

The answer they gave is a = -3, b = -1 and c = 2 not a=-5, b=3 - Jun 4th 2009, 04:13 AMalexmahone

(Why?)

----(1)

(Because x=1 is a repeated root)

-----(2)

Solving (1) and (2),

a=-3

b=-1

a=-3, b=-1, c=2 - Jun 5th 2009, 12:56 AMmark1950
Hey, what does P' means and how do you do it? Why do you put the power of 4, 3 and 2 equals to 0? thanks!

- Jun 5th 2009, 02:52 AMgreat_math
- Jun 5th 2009, 04:58 AMmark1950
Oh! Silly me. I've forgotten that the apostrophe sign was also a sign for differentiation. Thanks great math!