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InterviewSolution
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Polynomial `P(x)`is divided by `(x-3)`, the remainder if 6.If `P(x)`is divided by `(x^2-9)`, then the remainder is `g(x)`. Then the value of `g(2)`is ___________. |
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Answer» Correct Answer - 4 As P(x) is an odd function Hence, `P(-x)=-P(x)impliesP(-3)=-P(3)=-6` Let `P(x)=Q(x^(2)-9)+ax+b` (where Q is quotient and (ax+b)=g(x)=remainder) Now `P(3)=3a+b=6" "(2)` Hence, b=0 and a=2 Hence, `g(x)=2ximpliesg(2)=4` |
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