document.write( "Question 709853: I really need help. If you could please answer these two questions for me I would be forever grateful.
\n" ); document.write( "Find all the roots of each equation:
\n" ); document.write( "1. x^4-8x^3+19x^2-32x+60
\n" ); document.write( "2. x^5-3x^4-8x^3-8x^2-9x-5
\n" ); document.write( " i tried to solve the 1st problem but it didnt work. for the second one i got these roots: x=-1(multiplicity of 2), 5, -i, i \n" ); document.write( "
Algebra.Com's Answer #436806 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
1.
\n" ); document.write( "\"x%5E4-8x%5E3%2B19x%5E2-32x%2B60=0\"...easiest way is to factor this completely\r
\n" ); document.write( "\n" ); document.write( "write \"-8x%5E3\" as \"-3x%5E3-5x%5E3\", \"19x%5E2\" as \"15x%5E2%2B4x%5E2\", and \"-32x\" as \"-12x-20x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E4-3x%5E3-5x%5E3-15x%5E2%2B4x%5E2-12x-20x-60=0\"..group\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E4-3x%5E3%29-%285x%5E3-15x%5E2%29%2B%284x%5E2-12x%29-%2820x-60%29=0\"...factor out common \r
\n" ); document.write( "\n" ); document.write( "\"x%5E3%28x-3%29-5x%5E2%28x-3%29%2B4x%28x-3%29-20%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E3-5x%5E2%2B4x-20%29%28x-3%29=0\"...group\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E3-5x%5E2%29%2B%284x-20%29%29%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%28x-5%29%2B4%28x-5%29%29%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B4%29%28x-5%29%29%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-5%29%28x-3%29%28x%5E2%2B4%29=0\"\r
\n" ); document.write( "\n" ); document.write( "now we can find roots\r
\n" ); document.write( "\n" ); document.write( "if \"x-5=0\"...=>...\"x=5\"\r
\n" ); document.write( "\n" ); document.write( "if \"x-3=0\"...=>...\"x=3\"\r
\n" ); document.write( "\n" ); document.write( "if \"x%5E2%2B4\"...=>...\"x%5E2=-4\"...=>...\"x=sqrt%28-4%29\"..=>...\"x=2i\" or \"x=-2i\"\r
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\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "\"x%5E5-3x%5E4-8x%5E3-8x%5E2-9x-5=0\"....write \"-3x%5E4\" as \"2x%5E4-5x%5E4\",\"-8x%5E3\" as \"-10x%5E3%2B2x%5E2\", \"-8x%5E2\" as \"-10x%5E2%2B2x%5E2\", and \"-9x\" as \"-10x%2Bx\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E5%2B2x%5E4%2Bx%5E3-5x%5E4-10x%5E3-5x%5E2%2Bx%5E3%2B2x%5E2%2Bx-5x%5E2-10x-5=0\"...group\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E4%2B2x%5E3%2Bx%5E2%2Bx%5E2%2B2x%2B1%29%28x-5%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E4%2Bx%5E2%29%2B%282x%5E3%2B2x%29%2B%28x%5E2%2B1%29%29%28x-5%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%28x%5E2%2B1%29%2B2x%28x%5E2%2B1%29%2B%28x%5E2%2B1%29%29%28x-5%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B2x%2B1%29%28x%5E2%2B1%29%29%28x-5%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2%28x%5E2%2B1%29%28x-5%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28x%2B1%29%5E2=0\"...=>...\"x%2B1=0\"..=>...\"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "if \"x%5E2%2B1=0\"...=>...\"x%5E2=-1\"..=>...\"x=sqrt%28-1%29\"...=>...\"x=i\" or \"x=-i\"\r
\n" ); document.write( "\n" ); document.write( "if \"x-5=0\".....=>...\"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-300%2C+300%2C+x%5E5-3x%5E4-8x%5E3-8x%5E2-9x-5%29+\"
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