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Find the equation of a polynomial if the roots are 3, 1, and -√2.
Solution:
If one of the root of the equation is given which is -√2 , then we need to get its conjugate because we want to eliminate the radical sign in the given equation. The conjugate of -√2 is √2 . Hence, the equation or a factor from the product of a root and its conjugate is
Therefore, the equation of a polynomial is
