document.write( "Question 1113622: Find all the roots of p(x)=x^4+4x^3-x^2-16x-12 \n" ); document.write( "

Algebra.Com's Answer #728687 by josgarithmetic(39617) $\"\"$ $\"About$

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The possible roots to test are -12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 12.\r
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\n" ); document.write( "\n" ); document.write( "The roots will be found -3, -2, -1, 2.
\n" ); document.write( "You could use synthetic division to check each possible root and continue with the resulting quotient, to continue checking for the possible roots.\r
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\n" ); document.write( "\n" ); document.write( "Just one example.
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document.write( "-3  |  1   4   -1   -16   -12\r\n" );
document.write( "    | \r\n" );
document.write( "    |     -3   -3    12    12\r\n" );
document.write( "    |------------------------------\r\n" );
document.write( "      1   1   -4    -4     0\r\n" );
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\n" ); document.write( "Remainder of 0;
\n" ); document.write( "The next polynomial to check roots of is $\"x%5E3%2Bx%5E2-4x-4\"$
\n" ); document.write( "but now the possible roots to check are now -4,-2,-1,1, 2, 4. \r
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\n" ); document.write( "\n" ); document.write( "All the roots found will be -3, -2, -1, 2. \n" ); document.write( "

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