question_answer

Find the quotient and remainder, when \[{{x}^{3}}+2{{x}^{2}}-3x+4\]is divided by \[2{{x}^{2}}-5x+1.\]

A) \[\frac{1}{2}x+\frac{9}{4},\frac{31x+25}{4}\]      

B)           \[\frac{1}{2}x-\frac{9}{4},\frac{31x-25}{4}\]        

C)            \[\frac{1}{2}x+\frac{9}{4},\frac{31x+7}{4}\]        

D)            \[\frac{1}{2}x-\frac{9}{4},\frac{31x+7}{4}\]