In the RD Sharma Solutions,  in Chapter 6 Factorization of Polynomials, Ex 6.4, Q no. 22,
the remainder is in minus. Then, why afterward this step-(-2x-3) was done.

Asked by vatsalchoudhary41 | 5th Sep, 2014, 08:01: AM

Expert Answer:

T h e space q u e s t i o n space i s space w h a t space m u s t space b e space a d d e d space t o space 3 x plus x minus 22 x plus 9 space s o space t h a t space t h e space r e s u l t space i s space e x a c t l y space d i v i s i b l e space b y space 3 x plus 7 x minus 6. S i n c e space t h e space r e m a i n d e r space h a s space b e e n space f o u n d space o u t space b y space l o n g space d i v i s i o n comma space t h e r e f o r e space minus left parenthesis minus 2 x minus 3 right parenthesis space h a v e space t o space b e space d o n e. I n space c a s e space y o u space a r e space n o t space c l e a r space w i t h space t h i s comma space y o u space c a n space a l s o space f i n d space t h e space a n s w e r space b y space u sin g space t h e space m e t h o d space o f space q u e s t i o n space n o. space 20 space i n t h e space s a m e space e x e r c i s e. space P l e a s e space l e t space m e space k n o w space i f space t h a t space c l e a r s space y o u r space d o u b t.

Answered by Prasenjit Paul | 5th Sep, 2014, 09:54: AM