document.write( "Question 625287: Given that (x+1) is one of the factors of P(x), then find the rest of the factors of P(x), where
\n" ); document.write( " $\"P%28x%29=x%5E3%2B6x%5E2%2B11x%2B6\"$ \n" ); document.write( "

Algebra.Com's Answer #393413 by nerdybill(7384) $\"\"$ $\"About$

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Given that (x+1) is one of the factors of P(x), then find the rest of the factors of P(x), where
\n" ); document.write( " $\"P%28x%29=x%5E3%2B6x%5E2%2B11x%2B6\"$
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\n" ); document.write( "You can either use \"long division\" OR \"synthetic division\" to divide:
\n" ); document.write( " $\"P%28x%29=x%5E3%2B6x%5E2%2B11x%2B6\"$ by $\"x%2B1\"$
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\n" ); document.write( "Using synthetic division:
\n" ); document.write( " -1 | 1 6 11 6
\n" ); document.write( " -1 -5 -6
\n" ); document.write( " ---------------
\n" ); document.write( " 1 5 6 0
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\n" ); document.write( "quotient:
\n" ); document.write( "x^2 + 5x + 6
\n" ); document.write( "factoring:
\n" ); document.write( "(x+3)(x+2) (the rest of the factors)
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