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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)?
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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