question_answer

If a polynomial p(x) is divided by another polynomial g(x), with a quotient q(x) and remainder r(x), then p(x) = q(x) g(x) + r(x). What is the condition that r(x) must satisfy?

A)  \[r\left( x \right)=0\]

B)  \[r\left( x \right)=0\]or deg of \[r\left( x \right)>\]deg \[g\left( x \right)\]

C)  Either \[r\left( x \right)=0\]or deg \[r\left( x \right)<\]deg \[(g(x))\]

D) \[r\left( x \right)=g\left( x \right)\]