document.write( "Question 40991: Find a polynomial of the lowest degree with only real coeffiecients and having the given zeroes -4i and rad 7 \n" ); document.write( "

Algebra.Com's Answer #26512 by astromathman(21) $\"\"$ $\"About$

You can put this solution on YOUR website!
I disagree with fractalier's solution. For a polynomial to have real coefficients, the complex roots come in conjugate pairs, but real roots need not be paired. Therefore for the polynomial solution with the lowest degree the factors are:
\n" ); document.write( " $\"%28x%2B4i%29%28x-4i%29%28x-sqrt%287%29%29=0\"$
\n" ); document.write( "so the polynomial is:
\n" ); document.write( " $\"x%5E3-sqrt%287%29x%5E2%2B16x-16sqrt%287%29=0\"$ \n" ); document.write( "

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