IB skill practice

Use roots of complex polynomials

Connect complex roots, conjugate pairs, factors, and polynomial equations.

Paper 1, Paper 2 5 marks Difficulty 4

Use roots of complex polynomials - complex polynomial roots item

Case B10. Use the complex-root diagram and calculate the requested conjugate, modulus, degree, or root-sum quantity.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.