document.write( "Question 427352: I can't figure out how to do this:\r
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Algebra.Com's Answer #297235 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi
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document.write( "As to checking the answer: 
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document.write( "Note:
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document.write( "  1) (x-1) is a factor as when x=1, then f(1)= 1+2+3-6= 0\r
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document.write( "  (x^3+2x^2+3x-6)/(x-1)= x^2 + 3x + 6  
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document.write( "  2) checking the result of the division could be done by showing:
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document.write( "      (x-1)(x^2 + 3x + 6) =  x^3+2x^2+3x-6\r
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document.write( "          x^2 + (3x) +   6
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document.write( "        __________________________
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document.write( "x - 1 | x^3  +2x^2   +3x   -6      
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document.write( "      - (x^3 -x^2)
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document.write( "       ---------------
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document.write( "               3x^2 + 3x
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document.write( "             - (3x^2 -3x))
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document.write( "                --------------
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document.write( "                      6x - 6
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document.write( "                   - (6x - 6)
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document.write( "                          --------
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document.write( "                            0
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document.write( "

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