3. Remainder is- 5 in long division of polynomial then what should be added to polynomial to make it exactly divisible.
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Given : Remainder is- 5 in long division of polynomial
To Find : what should be added to polynomial to make it exactly divisible.
Solution:
p(x) = g(x) f(x) + r(x)
Remainder is- 5
=> r(x) = - 5
=> p(x) = g(x) f(x) - 5
=> p(x) + 5 = g(x) f(x)
Hence 5 must be added to polynomial to make it exactly divisible.
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