Q. 114.2( 18 Votes )

Show that m-1 is a factor of m21 - 1 and m22 - 1

Answer :

Put m = 1 in the first polynomial

m (1) = (1)21 – 1


= 1 – 1


= 0


So m-1 is the factor of m21 -1


Put m = 1 in the second polynomial


m (1) = (1)22 – 1


= 1 – 1


= 0


So m-1 is the factor of m22 -1


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