document.write( "Question 855630: Find a polynomial equation with real coefficients that has the given roots -1,3-2i \n" ); document.write( "

Algebra.Com's Answer #515500 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Degree is FOUR, because if one of the zeros is -2i, then 2i is also needed.\r
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\n" ); document.write( "\n" ); document.write( "Factored form of the needed polynomial:
\n" ); document.write( " $\"%28x%2B1%29%28x-3%29%28x%2B2i%29%28x-2i%29\"$
\n" ); document.write( "-
\n" ); document.write( " $\"%28x%5E2-2x-3%29%28x%5E2-%282i%29%5E2%29\"$
\n" ); document.write( " $\"%28x%5E2-2x-3%29%28x%5E2%2B4%29\"$
\n" ); document.write( " $\"x%5E4-2x%5E3-3x%2B4x%5E2-8x-12\"$
\n" ); document.write( " $\"highlight%28x%5E4-2x%5E3%2B4x%5E2-11x-12%29\"$ \n" ); document.write( "

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