question_answer

Using division algorithm, find the quotient and remainder on dividing \[f(x)\] by \[g(x)\] where \[f(x)=6{{x}^{3}}+13{{x}^{2}}+x-2\] and\[g(x)=2x+1\].

Answer:

Given, \[f(x)=6{{x}^{3}}+13{{x}^{2}}+x-2\] and \[g(x)=2x+1\]

\[f(x)\div g(x)\Rightarrow \]

quotient \[=3{{x}^{2}}+5x-2\], remainder \[=0\]