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Question

If (x23x+2) is a factor of x4px2+q, then p and q are respectively ............
find the sum of p and q.

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Solution

Given x23x+2 is a factor of x4px2+q
(x1) and (x2) are factors of x4px2+q
So, x=1,2 satisfies x4px2+q
1p+q=0
and 164p+q=0
Solving these eqns , we get
p=5,q=4
p+q=9

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