document.write( "Question 478860: We are given a polynomial equation and one or more of its roots. Find the remaining roots. \"x%5E4%2B3x%5E3-3x%5E2%2B3x-4=0\" Roots are x=-4 and x=1 \n" ); document.write( "
Algebra.Com's Answer #328117 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Using synthetic division: roots are: 1,-4, i,-i\r
\n" ); document.write( "\n" ); document.write( "x^4+3x^3-3x^2 +3x-4)/(x-1) = x^3 + 4x^2 + x + 4\r
\n" ); document.write( "\n" ); document.write( "1 1 3 -3 3 -4
\n" ); document.write( " 1 4 1 4
\n" ); document.write( " 1 4 1 1 0\r
\n" ); document.write( "\n" ); document.write( "(x^3 + 4x^2 + x + 4)/(x+4) = x^2+1, x^2+1 = 0 , x = ± i
\n" ); document.write( "-4 1 4 1 4
\n" ); document.write( " -4 0 -4
\n" ); document.write( " 1 0 1 0
\n" ); document.write( " \n" ); document.write( "
\n" );