document.write( "Question 940563: Write a polynomial function with rational coefficients in standard form with the given zeros.
\n" ); document.write( " square root of 3, 2i \n" ); document.write( "

Algebra.Com's Answer #573338 by Fombitz(32388) $\"\"$ $\"About$

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With real coefficients, complex roots come in complex conjugate pairs.
\n" ); document.write( "With rational coefficients, $\"-sqrt%283%29\"$ must also be a root.
\n" ); document.write( " $\"f%28x%29=%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29%28x-2i%29%28x%2B2i%29\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2-3%29%28x%5E2%2B4%29\"$
\n" ); document.write( " $\"f%28x%29=x%5E4%2Bx%5E2-12\"$
\n" ); document.write( " \n" ); document.write( "

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