Hey folks!
Time for some math..
If x^51 + 51 is divided by x+1 then what's the remainder..?
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0
1
49
50
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vansika192:
50
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Answered by
106
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To find the remainder when X⁵¹+51 is divided by X+1,
we have to set X+1 to Zero (0), find the value of X and then substitute that value in X⁵¹+51 to arrive remainder.
If (x + 1) is a factor of P(x)
⇒ P(-1) = 0 but P(-1)
Putting all the values we get,
⇒ (-1)⁵¹ + 51 = -1 + 51
which is nothing but -1 + 51 = 50.
= 50.
Therefore, when X^51 + 51 is divided by (X+1), we get the remainder as 50.
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