if the expression a x to the power of 4 plus b x cubed minus x squared plus 2 x plus 3 has remainder 4x+3 when divided by x squared plus x minus 2 , find the values of a and b .

Asked by palani002001 | 14th Jul, 2015, 09:57: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space p o l y n o m i a l space a x to the power of 4 plus b x cubed minus x squared plus 2 x plus 3 G i v e n space t h a t space w h e n space t h e space a b o v e space p o l y n o m i a l space i s space d i v i d e d space b y space x squared plus x minus 2 space g i v e s space t h e space r e m a i n d e r space 4 x plus 3 T h u s space b y space d i v i s i o n space a l g o r i t h m comma space a x to the power of 4 plus b x cubed minus x squared plus 2 x plus 3 equals Q u o t i e n t plus fraction numerator 4 x plus 3 over denominator x squared plus x minus 2 end fraction

Answered by Vimala Ramamurthy | 15th Jul, 2015, 11:37: AM