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Arthur Yardley

· started a discussion

· 1 Months ago

Explanation (Question: 246297.0 )

Remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial (x-a) is equal to f(a).

f(x)= (x+1)(x+2)...(x+10) [x is 8640]
a=0 then, the remainder of division of f(x) by x-0 or x will be given by f(0)
f(0)=1*2*3.....9*10
9!/864
8!/96
7!12
0

Question:
Find the remainder when the product of 10 consecutive natural numbers starting from 8641 is divided by 8640.
Options:
A) 3
B) 8639
C) 0
D) 55
Solution:

Ans: (c)

Required Remainder 


Viral India

· commented

· 1 Months ago

you just cant divide denominator with any of the numerator ....55 is the correct answer.....
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