Question
Given that $\sqrt{2}$ is a zero of the cubic polynomial $6\text{x}^3+\sqrt{2}\text{x}^2-10\text{x}-4\sqrt{2},$ find its other two zeroes.
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Answer
Let $\text{f(x) }6\text{x}^3+\sqrt{2}\text{x}^2-10\text{x}-4\sqrt{2}$ and given that $\sqrt{2}$ is one of the zeroes of f(x) i.e., $\big(\text{x}-\sqrt{2}\big)$ is one of the factor of given cubic polynomial. Now, using divison algorithm,
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