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

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Ambiguous

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Data insufficient

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
The degree of the remainder is always less than the degree of the divisor.
if p(x) and q(x) are any two polynomials with q(x) is non zero. then we can find polynomials g(x) and r(x). such that
$p (x) = q (x) \times g (x) + r (x)$
where r(x)=0 or degree of r(x) < degree of q(x).
Hence, Option A is correct.

Suggest Corrections

Similar questions

In polynomial division , the degree of the remainder is always ___ ( greater / 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.

If the degree of the divisor g(x) is one then the degree of the remainder r(x) is

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. Remainder is always smaller than the divisor.

Join BYJU'S Learning Program