x cubed minus 6 x squared plus 2 x minus 4 space d i v i d e d space b y space 3 x minus 1

Asked by KALAPANA.KOTAK | 16th Jul, 2014, 08:41: AM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e x p r e s s i o n space x cubed minus 6 x squared plus 2 x minus 4 space B y space r e m a i n d e r apostrophe s space t h e o r e m comma space p open parentheses x close parentheses equals fraction numerator q open parentheses x close parentheses over denominator x minus a end fraction plus space f open parentheses a close parentheses comma space w h e r e space q left parenthesis x right parenthesis space i s space t h e space q u o t i e n t space a n d space space f left parenthesis a right parenthesis space i s space t h e space r e m a i n d e r. H e r e comma space a equals 1 third T h u s comma space r e m a i n d e r equals f open parentheses 1 third close parentheses f open parentheses 1 third close parentheses equals open parentheses 1 third close parentheses cubed minus 6 open parentheses 1 third close parentheses squared plus 2 open parentheses 1 third close parentheses minus 4 space equals 1 over 27 minus 6 cross times 1 over 9 plus 2 cross times 1 third minus 4 equals 1 over 27 minus 6 over 9 plus 2 over 3 minus 4 equals fraction numerator 1 minus 18 plus 18 minus 4 cross times 27 over denominator 27 end fraction equals fraction numerator 1 minus 4 cross times 27 over denominator 27 end fraction equals fraction numerator 1 minus 108 over denominator 27 end fraction equals fraction numerator minus 107 over denominator 27 end fraction

Answered by Vimala Ramamurthy | 16th Jul, 2014, 09:56: AM