Let P ( x ) be a polynomial with degree 2009 and leading co-efficient unity such that P ( 0 ) = 2008 , P ( 1 ) = 2007 , P ( 2 ) = 2006 , … . P ( 2008 ) = 0 then the value of P ( 2009 ) = ( ∣ n ) − a w

Question

Let P ( x ) be a polynomial with degree 2009 and leading co-efficient unity such that P ( 0 ) = 2008 , P ( 1 ) = 2007 , P ( 2 ) = 2006 , … . P ( 2008 ) = 0 then the value of P ( 2009 ) = ( ∣ n ) − a where n and a are natural number then value of ( n + a )

TestHub · Accepted Answer

P ( x ) − 2008 + x = x ( x − 1 ) ( x − 2 ) ( x − 3 ) … .. ( x − 2008 ) Put x = 2009 P ( 2009 ) + 1 = ( 2009 )!

Mathematics - Quadratic Equation Question with Solution | TestHub

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