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Question
If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
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Solution
In order to divide p(x) by g(x)
We know that,
Degree of p(x) > degree of g(x)
or
Degree of p(x) = degree of g(x)
Therefore, we can say that,
The relation between the degrees of p(x) and g(x) is degree of p(x) > degree of g(x)
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