document.write( "Question 1043460: Let f(x)=x^4+2x^3-7x^2-20x-12
\n" ); document.write( "If -2 is a zero, factor f(x) completely
\n" ); document.write( "- please show how to factor it as well. \n" ); document.write( "

Algebra.Com's Answer #658613 by josgarithmetic(39617) $\"\"$ $\"About$

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Expect the remainder for checking the given root to be 0.\r
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document.write( "-2   |   1   2   -7   -20   -12\r\n" );
document.write( "     |\r\n" );
document.write( "     |      -2    0    14    12\r\n" );
document.write( "     |________________________________\r\n" );
document.write( "        1   0    -7    -6    0\r\n" );
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\n" ); document.write( "This factorization shows f(x)=(x+2)(x^3+0x^2-7x-6) and other factors to check would be -1,-2,-3,1,2,3.\r
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\n" ); document.write( "\n" ); document.write( "Carry on with synthetic divisions, and you will find the roots to be, for that cubic factor, -2,-1,3.
\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%5E2%28x%2B1%29%28x-3%29\"$
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