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is a factor of p^(10)-1 and also of p^...

____ is a factor of `p^(10)-1 `and also of `p^(11)-1.`

A

`p+1`

B

`p-1`

C

`p-2`

D

`p+2`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `g(p) =p^(10)-1`
and `h(p) =p^(11)-1`
On putting p1 in Eq.(i) we get
`g(1)=1^(10)-1=1-1=0`
hence , p-1 in a factor of g(p).
Again , putting `p-1 ` in Eq, (ii) , we get
`h(1)=(1)^(11)-1=1-1=0`
hence , p-1 is a factor of h(p).
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  15. if a +b+c=9 and ab+bc+ca=26,find a^(2)+b^(2)+c^(2).

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  17. Facorise the following (i) 1-64a^(3)-12+48a^(2) (ii) 8p^(3)+(12)...

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  20. Find the product: (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

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