document.write( "Question 59577: f(x)= x^2(x-2)(x-1)\r
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Algebra.Com's Answer #40835 by Edwin McCravy(20081) $\"\"$ $\"About$

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f(x)= x²(x - 2)(x - 1)\r\n" );
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document.write( "Graph the polynomial functions.\r\n" );
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document.write( "Get the x intercepts by setting the\r\n" );
document.write( "right side = 0\r\n" );
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document.write( "There is a double-zero (double root)\r\n" );
document.write( "at x=0, which tells us that the graph \r\n" );
document.write( "is tangent to the x-axis at 0.\r\n" );
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document.write( "There are single zeros (single roots)\r\n" );
document.write( "at x = 2 and x = 1. \r\n" );
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document.write( " x | y\r\n" );
document.write( "-------\r\n" );
document.write( " 0 | 0 (tangent at the origin) \r\n" );
document.write( " 1 | 0 (crosses the x-axis) \r\n" );
document.write( " 2 | 0 (crosses the x-axis)\r\n" );
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document.write( "Now we need to get some more points.\r\n" );
document.write( "We need to get one point by choosing\r\n" );
document.write( "x left of 0, another point by choosing\r\n" );
document.write( "x between 0 and 1, another between 1\r\n" );
document.write( "and 2 and one more right of 2.\r\n" );
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document.write( " x | y\r\n" );
document.write( "-------\r\n" );
document.write( " 0 | 0 (tangent at the origin) \r\n" );
document.write( " 1 | 0 (crosses the x-axis) \r\n" );
document.write( " 2 | 0 (crosses the x-axis)\r\n" );
document.write( "-1 | 6\r\n" );
document.write( ".5 | .1875\r\n" );
document.write( "1.5|-.5625\r\n" );
document.write( "2.5|4.6875\r\n" );
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document.write( "Edwin

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