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Form the equation with the following roots:
Solution:
Since there are three given roots, then the degree of a polynomial must be a third degree but in this case, one of the roots has imaginary number, then the degree of a polynomial will not be a third degree.
If the first root is 2, then the factor of a polynomial is (x - 2).
If the next root is -5, then the factor of a polynomial is (x + 5).
If the last root is 3 + 2i, then we need it's conjugate which is 3 - 2i. Therefore, the factors of a polynomial are (x - 3 - 2i) and (x - 3 + 2i).
Therefore, the equation of a polynomial will be equal to
