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Question: When a polynomial P(x) is divided by x,(x-2)and (x-3), remainders are 1,3 and 2 respectively.If the same polynomial is divided by x(x-2)(x-3), the remainder is g(x), then the value of g(1) is?
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Answer:
6
Step-by-step explanation:
if p(x ) is divided by x then reminder is p (0) = 1
if p(x ) is divided by x-2 then reminder is p (2)=3
if p(x ) is divided by x-3 then reminder is p (3)=2
is p(x ) is divided by x( x-2)(x-3) then reminder is p (0)p(2)p(3)
= 1×2×3 = 6
so g ( 1) = 6
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