document.write( "Question 930160: i have to find a 3rd degree polynomial equation with rational coefficient that has the given numbers as roots.
\n" ); document.write( "3+ i and negative 3 \n" ); document.write( "

Algebra.Com's Answer #564722 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
Very routine question for polynomials.\r
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\n" ); document.write( "\n" ); document.write( "3-i is also a root because complex roots occur as conjugate pairs.\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28%28x-%283%2Bi%29%29%28x-%283-i%29%29%28x-%28-3%29%29=0%29\"$ , the start.
\n" ); document.write( " $\"%28x-3-i%29%28x-3%2Bi%29%28x%2B3%29=0\"$
\n" ); document.write( " $\"%28%28x-3%29-i%29%28%28x-3%29%2Bi%29%28x%2B3%29=0\"$
\n" ); document.write( " $\"%28%28x-3%29%5E2-i%5E2%29%28x%2B3%29=0\"$
\n" ); document.write( " $\"%28%28x-3%29%5E2%2B1%29%28x%2B3%29=0\"$
\n" ); document.write( " $\"%28x%5E2-6x%2B9%2B1%29%28x%2B3%29=0\"$
\n" ); document.write( " $\"highlight%28%28x%5E2-6x%2B10%29%28x%2B3%29=0%29\"$ .
\n" ); document.write( "You can continue multiplying if needed. \n" ); document.write( "

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