document.write( "Question 986887: What are the solutions of x^3+4x^2+x-6=0 ?\r
\n" ); document.write( "\n" ); document.write( " a. –1, –2, 3
\n" ); document.write( " b. –1, 2, –3
\n" ); document.write( " c. 1, –2, –3
\n" ); document.write( " d. –1, 2, 3\r
\n" ); document.write( "\n" ); document.write( "Searched my textbook, wasn't sure how to solve this. It's not the same as finding the roots, right? \n" ); document.write( "
Algebra.Com's Answer #607659 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "It is exactly the same thing as finding roots.\r
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\n" ); document.write( "\n" ); document.write( "Use synthetic division. I'll do plus and minus 1 for you:
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document.write( "  1  |  1   4    1   -6\r\n" );
document.write( "            1    5    6\r\n" );
document.write( "     ------------------\r\n" );
document.write( "        1   5    6    0\r\n" );
document.write( "The remainder is zero, so  is a factor, so 1 is a root.\r\n" );
document.write( "\r\n" );
document.write( " -1  |  1   4    1   -6\r\n" );
document.write( "           -1   -3    2\r\n" );
document.write( "     ------------------\r\n" );
document.write( "        1   3   -2    4\r\n" );
document.write( "The remainder is not zero, so  is not a factor, so -1 is not a root.\r\n" );
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\n" ); document.write( "Note that in the division that proved is a factor, the quotient is , a factorable quadratic polynomial for which you should be able to determine the zeros.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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