Question

Write a function with the given characteristics:

A polynomial with rational coefficients having roots 3, 3, and 3-i

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Answer 1

If polynomial with rational coefficients has root 3 –i, it also has a root 3 + i (complex conjugate). The example of polynomial with roots 3, 3, 3 –i, 3 + i is (x−3)2(x−(3−i))(x−(3+i))=(x−3)²(x−6x+10)=x4−12x3+55x2−114x+90.

Explanation: