Show that p – 1 is a factor of p10 –1
(Plz help me............)
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Show that p – 1 is a factor of p10 –1
(Plz help me............)
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Answer:
p−1=0
p=1
For p−1 to be factor, the equation on substituting p=1 should equate to 0
i) f(p)=p
10
−1
f(1)=1−1=0
ii) f(p)=p
11
−1
f(1)=1−1=0
∴ Hence p−1 is a factor of both
p
10
−1 & p
11
−1
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