On dividing a polynomial `p(x)` by a non-zero polynomial `q(x)`, let `g(x)` be the quotient and `r(x)` be the remainder then `= q(x)* g(x) + r(x), `where
A. r(x) = 0 always
B. deg `r(x) lt ` deg g(x) always
C. either r(x) = 0 or deg ` r(x) lt ` deg g(x)
D. r(x) = g(x)
