For polynomial division, degree of the remainder is always ___ ( greater / lesser ) than the degree of the divisor.

Open in App

Solution

If the degree of the remainder is greater than or equal to the degree of the divisor, that means that the division is not complete. Hence, degree of remainder will always be lesser than the degree of the divisor.

Suggest Corrections

Similar questions

Q. The degree of the remainder is always less than the degree of the divisor.

In division algorithm when should one stop the division process?
1. When the remainder is zero.
2. When the degree of the remainder is less than the degree of the divisor.
3. When the degree of the quotient is less than the degree of the divisor.

A polynomial of degree 6 is divided by a polynomial of degree 2 if the divisor is the factor of the dividend find the degree of the remainder

Q. When a polynomial of degree greater than 1, denoted by P(x), is divided by (x-a), then the remainder is .

If p(x) is a polynomial of degree greater than 0. Then remainder of $\frac{p (x)}{(x - a)}$ is p(a)

Join BYJU'S Learning Program