document.write( "Question 177363: Write a polynomial function with rational coefficients in standard form with the given zeros. [] means square root.. please help\r
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\n" ); document.write( "\n" ); document.write( "10. 2, 3, 5 \r
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\n" ); document.write( "\n" ); document.write( "11. [3], 2i \n" ); document.write( "

Algebra.Com's Answer #132428 by Mathtut(3670) $\"\"$ $\"About$

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10 (x-2)(x-3)(x-5)=0
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\n" ); document.write( " $\"%28x%5E2-5x%2B6%29%28x-5%29=0\"$
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\n" ); document.write( " $\"x%5E3-5x%5E2-5x%5E2%2B25x%2B6x-30=0\"$
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\n" ); document.write( " $\"x%5E3-10x%5E2%2B31x-30=0\"$
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\n" ); document.write( "since one root is 2i there has to be another root which is its conjugate -2i
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\n" ); document.write( " $\"%28x-sqrt%283%29%29%28x%2B2i%29%28x-2i%29=0\"$
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\n" ); document.write( " $\"%28x-sqrt%283%29%29%28x%5E2%2B4%29=0\"$
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\n" ); document.write( " $\"x%5E3-sqrt%283%29x%5E2%2B4x-4sqrt%283%29=0\"$ \n" ); document.write( "

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