document.write( "Question 191251This question is from textbook algebra and trigonometry structure and method book 2
\n" ); document.write( ": Find the number of times r is a root of P(x)=0.
\n" ); document.write( "P(x)= x^4+4x^3-16x-16; r=-2\r
\n" ); document.write( "\n" ); document.write( "i found the depressed eruation twice but the numbers were all messed up. please help and explain. \n" ); document.write( "

Algebra.Com's Answer #143543 by Edwin McCravy(20055) $\"\"$ $\"About$

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Find the number of times r is a root of P(x)=0.
\n" ); document.write( "P(x)= x^4+4x^3-16x-16; r=-2
\n" ); document.write( "i found the depressed eruation twice but the
\n" ); document.write( "numbers were all messed up. please help and
\n" ); document.write( "explain.
\n" ); document.write( "

\r\n" );
document.write( "You have to insert a place holder \r\n" );
document.write( "and start with\r\n" );
document.write( "\r\n" );
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document.write( "-2 | 1  4  0 -16 -16\r\n" );
document.write( "   |   -2 -4   8  16\r\n" );
document.write( "    ----------------\r\n" );
document.write( "     1  2 -4  -8   0\r\n" );
document.write( "\r\n" );
document.write( "-2 | 1  2 -4  -8\r\n" );
document.write( "   |   -2  0   8 \r\n" );
document.write( "    ------------\r\n" );
document.write( "     1  0 -4   0\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-2 | 1  0 -4\r\n" );
document.write( "   |   -2  4 \r\n" );
document.write( "    --------\r\n" );
document.write( "     1 -2  0\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-2 | 1 -2\r\n" );
document.write( "   |   -2\r\n" );
document.write( "    -----\r\n" );
document.write( "     1 -4\r\n" );
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document.write( "We get a 0 remainder 3 times, but\r\n" );
document.write( "not the 4th time, so -2 is a root\r\n" );
document.write( "3 times.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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