Question

If an nth degree polynomial is divide by a mth degree polynomial , then the possible degree of the quotient is :

Answer 1

Hi Mate!!

Possible degree of polynomial is m

Answer 2

Answer:

The possible degree of quotient is (n-m)th degree.

Step-by-step explanation:

Given If an nth degree polynomial is divide by a mth degree polynomial then we have to tell the possible degree of quotient.

When any polynomial is divided using long division method then we first arrange the dividend in decreasing order and then we have to choose the number which completely divides the first term of dividend when multiplied by divisor

If the the degree of dividend is 5 and of divisor is 2 then to divide completely the first term we must have to choose the number of degree 3 i.e of degree n-m so that divisor completely divides the first term of dividend.

Hence, the possible degree of quotient is (n-m)th degree.