document.write( "Question 1134042: Solve 3x^4 -5x^3-7x^2+3x+2=0 given -1 is a root and 2/3 is a root. \n" ); document.write( "
Algebra.Com's Answer #751333 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E4+-5x%5E3-7x%5E2%2B3x%2B2=0+\"\r
\n" ); document.write( "\n" ); document.write( "given: \"x=-1\" is a root and \"x=2%2F3\" is a root
\n" ); document.write( "if \"x=2%2F3\"=> \"x-2%2F3=0\"
\n" ); document.write( "if \"x=-1\"=>\"x%2B1=0\" \r
\n" ); document.write( "\n" ); document.write( "\"x%2B1=0\" and \"x-2%2F3=0\" are factor\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%5E4+-5x%5E3-7x%5E2%2B3x%2B2=0+\" is divisible by \"%28x+%2B+1%29%28x+-2%2F3%29=x%5E2+%2B+x%2F3+-+2%2F3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ".....................(\"3x%5E2-6x-3\"
\n" ); document.write( "\"x%5E2+%2B+x%2F3+-+2%2F3\"|\"3x%5E4+-5x%5E3-7x%5E2%2B3x%2B2+\"
\n" ); document.write( "................................\"3x%5E4%2Bx%5E3-2x%5E2%2B3x%2B2\"
\n" ); document.write( ".........................................\"-6x%5E3-2x%5E2\"
\n" ); document.write( "...........................................\"-6x%5E3-2x%5E2\"
\n" ); document.write( "............................................... \"+0\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x-3=0\" ...simplify
\n" ); document.write( "\"x%5E2-2x-1=0\"
\n" ); document.write( "use quadratic formula\r
\n" ); document.write( "\n" ); document.write( "=> \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-1%29+%29%29%2F%282%2A1%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+4%2B4+%29%29%2F2+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+2%2A4%29%29%2F2+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+2sqrt%28+2%29%29%2F2+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+2%29%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"x=+1%2Bsqrt%282%29\" and \"x=1-sqrt%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x%5E4+-5x%5E3-7x%5E2%2B3x%2B2%29+\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );