check using factor theorem that (2x+1) is a factor x^3-2x^2+x-1 or not ?
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The zero of the polynomial 2x+1 is => 2x+1=0 =>2x=1 => x=1/2
(1/2)³-2(1/2)²+1/2-1
= 1/8+1/2+1/2-1
= 1/8
Therefore, 2x+1 is not a factor of x³+2x²+x-1.
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