document.write( "Question 922226: What are all the real zeros of g(x)=3x^4-13x^3-10x^2+x-5 \n" ); document.write( "
Algebra.Com's Answer #559446 by MathLover1(20850)\"\" \"About 
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\"g%28x%29=3x%5E4-13x%5E3-10x%5E2%2Bx-5\" .....write \"-13x%5E3\" as \"-x%5E3-12x%5E3\" and
\n" ); document.write( " \"-10x%5E2\" as \"x%5E2%2B4x%5E2-15x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=3x%5E4-x%5E3%2Bx%5E2-12x%5E3%2B4x%5E2-4x-15x%5E2%2B5x-5\" .. group\r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=%283x%5E4-x%5E3%2Bx%5E2%29-%2812x%5E3-4x%5E2%2B4x%29-%2815x%5E2-5x%2B5+%29+\" factor\r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=x%5E2%283x%5E2-x%2B1%29-4x%283x%5E2-x%2B1%29-5%283x%5E2-x%2B1+%29\" \r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=%28x%5E2-4x-5%29%283x%5E2-x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=%28x%5E2-5x%2Bx-5%29%283x%5E2-x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=%28x%2B1%29%28x-5%29%283x%5E2-x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "zeros:\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%28x-5%29%283x%5E2-x%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "if \"%28x%2B1%29=0\"=>\"x=-1\" ---real solution\r
\n" ); document.write( "\n" ); document.write( "if \"%28x-5%29=0\"=>\"x=5\" ---real solution\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-x%2B1=0\"...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( "\n" ); document.write( "\"x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A3%2A1+%29%29%2F%282%2A3%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+1-12+%29%29%2F6+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28-11%29%29%2F6+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+i%2Asqrt%2811%29%29%2F6+\"\r
\n" ); document.write( "\n" ); document.write( "complex solutions: \"x+=+1%2F6+%2B+i%2Asqrt%2811%29%29%2F6+\" or \"x+=+1%2F6+-+i%2Asqrt%2811%29%29%2F6+\"\r
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