i need help with this question :Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
radical 2,5i
thank you!
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1. If the polynomial with rational coefficients has the root , it also has the root .
2. If the polynomial with real coefficients has the root 5i, it also has the complex conjugated root -5i.
3. So, your polynomial must have the roots , , 5i and -5i.
4. If so, it must be divisible by the product = = .
5. If you are looking for the polynomial of lowest degree with such properties,
it is exactly THIS polynomial f(x) = .