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Question
What number should be subtracted from x2 + x + 1 so that the resulting polynomial is exactly divisible by (x-2) ?
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Solution
(x - 2) = 0 ⇒ x = 2
When we substitute this value in the polynomial, whatever we get as a remainder (say a) should be subtracted so that polynomial is exactly subtracted by the factor.
f(2) = 2 × 2 + 2 + 1 - a = 0
⇒ a = 7
Hence answer = 7
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