Question
Given that $\text{x}-\sqrt{5}$ is a factor of the cubic polynomial $\text{x}^3-3\sqrt{5}\text{x}^2+13\text{x}-3\sqrt{5},$ find all the zeroes of the polynomial.
✓
Answer
Let $\text{f(x)}=\text{x}^3-3\sqrt{5}\text{x}^2+13\text{x}-3\sqrt{5}$ and given that, $\big(\text{x}-\sqrt{5}\big)$ is a one of the factor of f(x). Now, using divison algorithm,
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