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

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Write a polynomial function of least degree with real coefficients, the given zeroes are 2+i, 6i      Log On

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 Click here to see ALL problems on Rational-functions Question 391373: Write a polynomial function of least degree with real coefficients, the given zeroes are 2+i, 6iAnswer by solver91311(16872)   (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 My calculator said it, I believe it, that settles it