Question

A polynomial f (x) is divided by another polynomial g (x)of degree 4, we get quotient q (x) and remainder r (x ). What is the condition for polynomial r( x)?

Answer 1

Remainder should 0. Then f(x)is factor of g(x).

Answer 2

The degree of r(x) is less than the degree of q(x) and g(x) that is 4. or r(x) may be of degree 1.