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Grade: 9

                        

x to the power of 2006, divided by x2-1 leaves the remainder????????? Pls explain!!!!!!

9 years ago

Answers : (4)

T.MANI TEJA
34 Points
							

FIRST WRITE X TO POWER 2006 AS X-1+1 TO POWER 2006...DEN EXPAND IT USING BINOMIAL NEXPANSION...DEN  DIVIDE IT BY X2-1 ..U WL GET D ANS...

9 years ago
SAGAR SINGH - IIT DELHI
879 Points
							

Dear student,

The remainder would be x raise to the power 2004

9 years ago
vikas askiitian expert
509 Points
							

this is an example how to divide a polynomial function...

Example

Divide

        x4 + 3x2 - 5
                               
            x2 + 4x

Solution

We first write in long division form

       

Next decide what we need to multiply x2 by to get x4.  Since 

        (x2)(x2)  =  x4 

we can write

       

Next, we multiply x2 + 7x and x2.

       

Now subtract to get and bring down the 3x2 to get

       

We repeat this process until the degree of the remainder is less than the degree of the denominator.

        Poly Division

when x2006 is divided by x2-1 then remainder is x2004 by using this method ...


9 years ago
iit jee
44 Points
							

hi

i think the remainder is 1..............

9 years ago
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