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On dividing a polynomial p(x) by a nonze...

On dividing a polynomial `p(x)` by a nonzero polynomial `g(x)`, let `q(x)` be the quotient and `r(x)` be the remainder then `p(x) = g(x) xx q(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)`

Text Solution

Verified by Experts

The correct Answer is:
C
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