We know that,
f(x) = g(x) x q(x) + r(x)
f(x) - r(x) = g(x) x q(x)
f(x) + {- r(x)} = g(x) x q(x)
Clearly , Right hand side is divisible by g(x).
Therefore, Left hand side is also divisible by g(x).Thus, if we add - r(x) to f(x), then the resulting polynomial is divisible by g(x).
Let us now find the remainder when f(x) is divided by g(x).
Hence, we should add - r(x) = x - 2 to f(x) so that the resulting polynomial is divisible by g(x).
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What must be subtracted from 4...
Updated On: 27-06-2022
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Text Solution
Solution : -6 should be subtracted, so that remainder will be 0.
Answer
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