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Q.

When the polynomial p x = x 3 −2 x 2 +3x+1    is divided by x+1 ,   then what is the remainder obtained?


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a

1

b

-1

c

-2 

d

2

answer is B.

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Detailed Solution

detailed_solution_thumbnail
It is given that the polynomial p x = x 3 −2 x 2 +3x+1    is divided by x+1 .  
We know by Factor theorem that if x−k   is a factor of the given polynomial p(x)  , then p(k)=0   and if it is not a factor then p k =Remainder.  
Therefore we have,
     p(−1)= (−1) 3 +2 (−1) 2 +3(−1)+1  
 Question Image Therefore, the remainder is -1.
Hence, option (2) is correct.
 
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