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Home / 1^3 - 4(1) + 2 = 1 - 4 + 2 = -1 \quad (\text{not a root})

1^3 - 4(1) + 2 = 1 - 4 + 2 = -1 \quad (\text{not a root})

February 22, 2026

$1^3 - 4(1) + 2 = 1 - 4 + 2 = -1 \quad (\text{not a root})$

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x^3 - 4x + 2 = 0
To find the real solutions, we use the Rational Root Theorem to test possible rational roots, which are divisors of 2. The candidates are \( \pm 1, \pm 2 \).
Testing \( x = 1 \):
Testing \( x = -1 \):
Testing \( x = 2 \):
2^3 - 4(2) + 2 = 8 - 8 + 2 = 2 \quad (\text{not a root})

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