document.write( "Question 1130007: Factor the polynomial f(x)=x^3+5x^2-2x-10 into linear factors using two methods: Grouping method and rational zeros \n" ); document.write( "

Algebra.Com's Answer #746649 by josgarithmetic(39618) $\"\"$ $\"About$

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\"Grouping\" Method
\n" ); document.write( " $\"x%5E3%2B5x%5E2-2x-10\"$
\n" ); document.write( " $\"x%5E3%2B5x%5E2-%282x%2B10%29\"$
\n" ); document.write( " $\"x%5E3%2B5x%5E2-2%28x%2B5%29\"$
\n" ); document.write( " $\"x%5E2%28x%2B5%29-2%28x%2B5%29\"$
\n" ); document.write( " $\"%28x%5E2-2%29%28x%2B5%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Synthetic Division, Check for Possible Roots:
\n" ); document.write( "A few roots to try, but...
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document.write( "-5    |    1    5    -2    -10\r\n" );
document.write( "      |\r\n" );
document.write( "      |        -5     0     10\r\n" );
document.write( "      |______________________________\r\n" );
document.write( "          1    0    -2      0\r\n" );
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\n" ); document.write( "Shows that $\"-5\"$ works so $\"x%2B5\"$ is one factor, and the resulting quotient shows $\"x%5E2-2\"$ is a the other factor. \n" ); document.write( "

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