1. If x+2 is a factor of x³ + 5x² + kx + 4, find the value of k
2. A cubic equation with integral coefficients has no quadratic term. If one root is 2 + i?5 , what are the other roots?
3. Find a quartic equation with integral coefficients and roots 5 - i?3 and i
4. Find integers b and c if the equation x³ + bx² + cx + 8 = 0 has the root 2i

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