Question

The degree of remainder r(x) when p(x)=bx3+cx+d is divided by a polynomial of degree 4

Answer 1

It equals to 3 and it is p(x)/B(x)=Q(x)+R(x)/B(x).

Explanation:  

• The degree of the remainder should be less than that of the degree of the divisor, i.e., 4

• Where degree(B) < degree(P) and degree(R) < degree(B) But when, degree(B) > degree(P) then Q(x)=0 and P(x)=R(x).

• Thus, compare the degree.