Question

P(x)=g(x)+q(x)+r(x).if degree of g(x)=4, degree of q(x) =3 and degree of r(x)=2 then find the degree of p(x)

Answer 1

You should remember that remainder are added in the product of q(x) and g(x) and addition does not effect degree of polynomial if

deg(r(x))<deg(q(x))×(g(x))

which is obvious and basic