Question

While dividing a polynomial , the operation of division ends if the _______is zero and degree of the remainder is less than the degree of the divisor.
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Answer 1

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)×g(x)+r(x)

where r(x)=0 or degree of r(x) < degree of q(x).

Hence, Option A is correct.

Answer 2

Answer:

The answer is remainder.

Step-by-step explanation:

While we are dividing a given polynomial, the operation of the division generally ends if the remainder is zero and the respective degree of the remainder is less than the degree of the divisor.

This is because we cannot proceed further after the degree of the remainder is less than that of the divisor. And also if the remainder comes to be zero there is no other terms left to divide and hence the operation of division terminates.