(b) (i) Given that 1 – i is a complex root of the cubic polynomial r – x² + 2, determine the other two roots (without using a calculator). (ii) Hence, (and without using a calculator) determine 5x dx....

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Extracted text: (b) (i) Given that 1 – i is a complex root of the cubic polynomial r – x² + 2, determine the other two roots (without using a calculator). (ii) Hence, (and without using a calculator) determine 5x dx. x² + 2 (Hint: Use the result of part (a) to write a3 – a? + 2 = (x – a)(x² + bx + c) %3D for some a, b and c, and use partial fractions.)