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Question
What number should be added to 2x3 - 3x2 + 7x -8 so that the resulting polynomial is exactly divisible by (x-1) ?
Solution
(x - 1) = 0 ⇒ x = 1
When we substitute this value in the polynomial, whatever we get as a remainder (say a) should be added so that polynomial is exactly subtracted by the factor.
f(1) = 2 × 1 × 1 × 1 - 3 × 1 × 1 + 7 × 1 - 8 + a = 0
⇒ a = 2
Hence answer = 2
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