If the is divided by annother polynomial is divided by another polynomial ,the reaminder comes out to be ,find k and a:

please help at the earliest...have exams day after tom...

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- Sep 18th 2010, 09:07 AManshulbshahDividing Polynomials: Remainder.
If the is divided by annother polynomial is divided by another polynomial ,the reaminder comes out to be ,find k and a:

please help at the earliest...have exams day after tom... - Sep 18th 2010, 10:23 AMemakarov
Go ahead and divide by using long division. The remainder is a linear polynomial for some expressions , . On the other hand, the remainder is . Therefore, , from where you can find . Then .

- Sep 18th 2010, 10:27 AMSoroban
Hello, anshulbshah!

Your wording is weird . . . I'll tke a guess at what you meant.

And emakarov is correct!

Quote:

. . .

Long Division:

We have: .

Equate coefficients: .

From [1]: .

Substitute into [2]: .

- Sep 18th 2010, 05:24 PManshulbshah
- Sep 18th 2010, 05:25 PMTheCoffeeMachine
A way to avoid long division -- let:

The key at this step is of course to add the x in the remainder with the other x terms.

We compare the coefficients, of course.