document.write( "Question 715732: write a polynomial function with rational coefficients so that P(x)=0 has the given roots.put in standard form.\r
\n" ); document.write( "\n" ); document.write( "1). sqrt(3), 2i \n" ); document.write( "

Algebra.Com's Answer #439566 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rational coefficients?\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%2Bsqrt%283%29%29%28x-sqrt%283%29%29%28x%2B2i%29%28x-2i%29=0\"$ , It MUST be at least a degree 4 function. The trick is to not be mislead when seeing only the two listed roots.\r
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\n" ); document.write( "\n" ); document.write( "Do the multiplying for those four binomials:
\n" ); document.write( " $\"%28x%5E2-3%29%28x%5E2-4%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "Do the rest of the multiplying if you want general form:
\n" ); document.write( " $\"x%5E4-3x%5E2-4x%5E2%2B12=0\"$
\n" ); document.write( " $\"highlight%28x%5E4-7x%5E2%2B12=0%29\"$
\n" ); document.write( "Or if you prefer,
\n" ); document.write( " $\"highlight%28P%28x%29=x%5E4-7x%5E2%2B12%29\"$ \n" ); document.write( "

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