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The Factor Theorem states that the Polynomial P(x) has (x-r) as a factor if and only if P(r) = 0 Use r = -1 P(x) = x^4 + x^3 + x^2 + x + 1 P(r) = x^4 + x^3 + x^2 + x + 1 P(-1) = -1^4 + -1^3 + -1^2 + -1 + 1 P(-1) = 1 + -1 + 1 + -1 + 1 P(-1) = 3 - 2 P(-1) = 1 Therefore, (x+1) is not a factor of x^4 + x^3 + x^2 + x + 1