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September 7, 2021September 7, 2021 by Dr. McDonald

11 HL: The Conjugate Root Theorem

Complete the question below before our next class.

Given that $1+3i$ is a root of $x^3 – 3x^2 + 12x-10=0$ , find all other roots.

Hint

Note that

$1-3i$ will also be a root, and so

$(x-(1+3i))(x-(1-3i))$ will divide the polynomial

$x^3 – 3x^2 + 12x-10$ .

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