find the value of a if( x- a) is a factor of: x^5-a^2 x^3+2x+a+1
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(x-a) is a factor of x⁵-a²x³+2x+a+1
therefore using factor theorem on substituting a in the given expression we should get zero
a⁵-a²×a³+2a+a+1=0
a⁵-a⁵+3a+1=0
3a+1=0
a= -1/3
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