If the polynomial f(x) = is divisible by the polynomial g(x) = , then ?

Please Help....(Worried)

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- Jun 26th 2010, 05:15 AManshulbshahDivision Algorithm.....
If the polynomial f(x) = is divisible by the polynomial g(x) = , then ?

Please Help....(Worried) - Jun 26th 2010, 05:41 AMsa-ri-ga-ma
If f(x) is divisible by g(x), the you can write

Expand the brackets and compare coefficients of like powers of x. Write p and q in terms of a, b and c. Then find ab. - Jun 26th 2010, 05:45 AMchisigma
If the hypothesis id true is...

(1)

... and that means that is...

(2)

... so that...

(3)

Kind regards

- Jun 26th 2010, 06:29 AManshulbshah
- Jun 26th 2010, 07:53 AMchisigma
Now...

a) if devides , then there is a first order polynomial so that...

(1)

b) if You develop the product (1) You obtain...

(2)

c) from the (2) You obtain ...

, (3)

Kind regards