Polynomials related Questions by Balaji

[Balaji]

Give the 4 two digit factors of 7^100 - 5^100 ?


a. 37,74,16,48



b. 25,50,33,40



c. none of the above 



d. cannot be determined

answer choice a



solution



dividend= (7^2)^50 - (5^2)^50



dividend=(7^2)^25-(5^2)^25



dividend=(2401)^25-(625)^25 



this will divisibly by 2401-625=1776



1776= 2*2*2*2*3*37



hence 37,74,16,48