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Q.

If the polynomial p(x)   is divided by (x+3),   then the remainder will be


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a

p(−2)  

b

p(2)  

c

p(−3)  

d

p(2)   

answer is C.

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Detailed Solution

The given polynomials are p(x)   and g x = x+3 .  
We know by the Remainder theorem that, if a linear polynomial g(x)= x−k   divides a polynomial p(x)   of degree one or greater than one, then the remainder will be equal to p(k).  
Equate  x+3 =0.   ⇒x=−3   Therefore, on dividing p(x)   by g(x)=(x+3),   the remainder will be equal to p −3 .   Thus, if the polynomial p(x)   is divided by Question Image then the remainder will be p −3 .  
Hence, option (3) is correct.
 
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