document.write( "Question 95988: Factor each polynomial completely given that the binomial following it is a factor of the polynomial.\r
\n" ); document.write( "\n" ); document.write( "x(3) + 2X(2) - 5x - 6, x + 3 \n" ); document.write( "

Algebra.Com's Answer #69931 by tutorcecilia(2152) $\"\"$ $\"About$

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$\"%28x%5E3+%2B+2x%5E2+-+5x+-+6%29\"$
\n" ); document.write( "x(3) + 2X(2) - 5x - 6, x + 3
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\n" ); document.write( "Use synthetic division to solve:
\n" ); document.write( "[x=-3]
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\n" ); document.write( "\n" ); document.write( "Coeeficients: 1 +2 -5 - 6
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\n" ); document.write( "\n" ); document.write( "1+2-5-6
\n" ); document.write( "0-3+3+6
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\n" ); document.write( "1-1-2+0
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\n" ); document.write( "So,
\n" ); document.write( " $\"%28x%5E2-x-2%29\"$ is the other factor.
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\n" ); document.write( "Check by multiplying the two factors to get the orginal product:
\n" ); document.write( " $\"%28x%5E2-x-2%29\"$ (x-3) \n" ); document.write( "

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