Question

If a polynomial of degree 8 is divided by polynomial of degree 5 then find the degree of the remainder

Answer 1

If the polynomial of degree 8 is divided by polynomial of degree 5

The degree of quotient wiil be 3 (As 3+5=8)

Dividend = Divisor x Quotient + Remainder

We can only say that degree of remainder will always be less than degree of divisor and greater than or equal to 0

0<=the degree of the remainder<5

Maximum value of the degree of the remainder=4