document.write( "Question 269215: Use synthetic division and the solution
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Algebra.Com's Answer #197377 by AnlytcPhil(1806) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use synthetic division and the solution
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document.write( "Do it the same way as you do any synthetic division.\r\n" );
document.write( "You just have to spread it out more so thet there is\r\n" );
document.write( "room for the square roots, and you will have to do\r\n" );
document.write( "some of the multiplications out to the side or on\r\n" );
document.write( "scratch paper.\r\n" );
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document.write( " 8-Ö6|1  -8     -70       464\r\n" );
document.write( "     |    8-Ö6    6-8Ö6  -464\r\n" );
document.write( "      1    -Ö6  -64-8Ö6     0\r\n" );
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document.write( "We got a zero remainder, so that means that \r\n" );
document.write( "is a solution.\r\n" );
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document.write( "That means we have factored  \r\n" );
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document.write( "Now since all the coefficients are integers, the conjugate of \r\n" );
document.write( "that,  is also a solution.  So we do another\r\n" );
document.write( "synthetic division using the second parentheses and the\r\n" );
document.write( "conjugate :\r\n" );
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document.write( "   8+Ö6|1   -Ö6  -64-8Ö6\r\n" );
document.write( "       |   8+Ö6   64+8Ö6\r\n" );
document.write( "        1  8           0  \r\n" );
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document.write( "Now we have finally factored the polynomial this way:\r\n" );
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document.write( "Set those three factors equal to 0 and you get the three\r\n" );
document.write( "solutions:\r\n" );
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document.write( "Edwin

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