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Q.

When a polynomial p (x) is divided by a polynomial g (x), and the quotient is zero, the degree of p (x) is ____ as compared to the degree of g (x).

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Detailed Solution

When a polynomial p (x) is divided by a polynomial g (x), and the quotient is zero, the degree of p (x) is more as compared to the degree of g (x).
We know that the degree of the dividend is equal to the sum of the degree of divisor and quotient.
The polynomial

p x

on division with polynomial

g x

results 0, which means the degree of the polynomial

p x

is less than the

g x,

as if the degree of dividend is less than divisor than quotient is 0 and remainder is equal to the dividend.
Therefore, if on the division of a polynomial p (x) by a polynomial g (x), the quotient s zero, the degree of p (x) is more than the degree of the polynomial

g x .

Therefore, the required answer is more.

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