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प्रश्न
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)?
उत्तर
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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