determine whether thhe polynomial x³+x²+x+1 has a factor x+1
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Let g(x) =x+1, it's zero is (-1).
If it is a factor of the given polynomial, then by factor theorem, P(-1) =0
P(x) =x^3+x^2+x+1
P(-1) =(-1) ^3+(-1) ^2+(-1) +1
=-1+1-1+1=0.
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