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If (x-a) is a factor of the polynomial x^5-a^2x^3+2x+a-3,
Then, remainder is 0...
When we divide p(x) by (x-a), we get x^4+ax^3+2 as quotient and 3a-3 as remainder...
Since, remainder is 0, equate both...
3a-3=0
=> 3a=3=> a=1....
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