If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degree of p (x) and g(x)?

Question

Philoid · Accepted Answer

degree of p(x) is less than degree of g(x).

Given, the quotient = 0

i.e. q(x) = 0

by division algorithm,

p(x) = g(x).q(x) + r(x)

∴ the deg(p(x)) < deg(g(x))