If x+1 is a factor of x4+(p−3)x3−(3p−5)x2+(2p−9)x+6, then which of the following is not the other factor?
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a
x-1
b
x-2
c
x+3
d
None of these
answer is D.
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Detailed Solution
Putting x=−1 , we get −6p+24=0 or p=4x4+x3−7x2−x+6 x4+x3−7x2−x+6=(x+1)x3−7x+6clearly x=1 satisfies x3-7x+6 =(x+1)(x−1)x2+x−6=(x+1)(x−1)(x+3)(x−2) The other factors are x−1,x−2,x+3 .