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* For <math>i \gets 1, \cdots, m</math>:
** Divide <math>q_{i-1}</math> by <math>x^2 - \alpha_i</math> to get quotient <math>q_i \in \mathbb{R}[x]</math> and remainder <math>\gamma_i \in \mathbb{R}</math>. The remainder will be a constant polynomial {{--}} a number.
* ''Output:'' The derived values <math>t</math>, <math>\alpha_1, \cdots, \alpha_m</math>, and <math>\gamma_1, \cdots, \gamma_m</math>; as well as the base-case polynomial <math>q_m</math>
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