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)?

Answer 1

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)