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)?

__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))

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