SOLUTION: Write a polynomial function of least degree with real coefficients, the given zeroes are 2+i, 6i

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Question 391373: Write a polynomial function of least degree with real coefficients, the given zeroes are 2+i, 6i
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Complex zeros of polynomial functions with real coefficients come in conjugate pairs. That means that if is a zero of a given polynomial function, then must also be a zero of that same polynomial function.

The conjugate of is and the conjugate of is . Now we know that we have at least 4 zeroes, so the minimum degree polynomial function is 4th degree.

If is a zero of the polynomial function , then is a factor of .

Therefore:



All you need to do is multiply the factors to obtain a general form representation of your polynomial.

John

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