document.write( "Question 1113728: Find all the roots, given that x=2+i is a root:
\n" ); document.write( "p(x)=x^4-4x^3+3x^2+8x-10 \n" ); document.write( "

Algebra.Com's Answer #728803 by josgarithmetic(39617) $\"\"$ $\"About$

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Another root is $\"highlight%282-i%29\"$ , so part of the factorization for p is $\"%28x-%282%2Bi%29%29%28x-%282-i%29%29\"$
\n" ); document.write( " $\"%28x-2-i%29%28x-2%2Bi%29\"$
\n" ); document.write( " $\"%28%28x-2%29-i%29%28%28x-2%29%2Bi%29\"$
\n" ); document.write( " $\"%28x-2%29%5E2%2B1\"$
\n" ); document.write( " $\"x%5E2-4x%2B4%2B1\"$
\n" ); document.write( " $\"x%5E2-4x%2B5\"$ --------a quadratic factor of p.\r
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\n" ); document.write( "\n" ); document.write( "If you perform polynomial division for p(x) divided by $\"x%5E2-4x%2B5\"$ , the result will be quotient of $\"x%5E2-2\"$ . The roots corresponding to this are $\"highlight%28-sqrt%282%29%29\"$ and $\"highlight%28sqrt%282%29%29\"$ . \n" ); document.write( "

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