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 #26503 by fractalier(6550) $\"\"$ $\"About$

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If one zero is -4i, then another must by 4i.
\n" ); document.write( "If one zero is sqrt(7), then another must be -sqrt(7).
\n" ); document.write( "Thus our polynomial starts as
\n" ); document.write( "(x - 4i)(x + 4i)(x - sqrt(7))(x + sqrt(7)) = 0
\n" ); document.write( "(x^2 + 16)(x^2 - 7) = 0
\n" ); document.write( "x^4 + 9x^2 - 112 = 0 \n" ); document.write( "

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