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CBSE Class 9 Answered

i f space x to the power of 99 plus 99 space i s space d i v i d e d space b y space x plus 1 comma space t h e n space f i n d space t h e space r e m a i n d e r
Asked by kishor.kp14 | 30 Jul, 2019, 03:31: PM
answered-by-expert Expert Answer
Remainder Theorem: 
If a polynomial p(x) is divided by the binomial x + a, then the remainder is p(-a).
 
Here p(x) = x99 + 99 is divided by x + 1, then
 
By Remainder theorem, the remainder is p(-1).
 
→ p(-1) = (-1)99 + 99 = -1 + 99 = 98
 

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