If on division of a polynomial p(x) by a polynomial g(x), the degree of quotient is zero, what is the relation between the degrees of p(x) and g(x)?

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Solution

Given
degree of quotient is zero
$\Rightarrow$ the quotient is a constant.
$∴$ the degree of $p (x) =$ degree of $g (x)$

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If on division of a polynomial p(x) by a polynomial g(x), the degree of quotient is zero, what is the relation between the degrees of p(x) and g(x)?

Given degree of quotient is zero⇒ the quotient is a constant.∴ the degree of p(x)= degree of g(x)

Given
degree of quotient is zero
$\Rightarrow$ the quotient is a constant.
$∴$ the degree of $p (x) =$ degree of $g (x)$