document.write( "Question 1113975: factor f(x) into linear factors given that k is a zero of f(x)\r
\n" ); document.write( "\n" ); document.write( "f(x)= x^4+3x^3-30x^2-124x-120;k=-2 (multiplicity 2) \n" ); document.write( "

Algebra.Com's Answer #728996 by josgarithmetic(39627) $\"\"$ $\"About$

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document.write( "-2   |   1   3   -30   -124   -120\r\n" );
document.write( "     |       -2  -2    64      120\r\n" );
document.write( "     |-------------------------------\r\n" );
document.write( "        1   1    -32   -60     0\r\n" );
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\n" ); document.write( "\n" ); document.write( "Next, break into factors for $\"x%5E3%2Bx%5E2-32x-60\"$ .
\n" ); document.write( "You know there is another root of -2 because given was \"multiplicity 2\".\r
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\n" ); document.write( "\n" ); document.write( "Synthetic division on the above dividend will give quotient $\"x%5E2-x-30\"$ and the two previous factors were $\"x%2B2\"$ and $\"x%2B2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Factorization of $\"x%5E2-x-30\"$ is easily done:
\n" ); document.write( " $\"%28x%2B5%29%28x-6%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Entire factorization is then $\"%28x%2B2%29%5E2%2A%28x%2B5%29%28x-6%29\"$ . \n" ); document.write( "

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