document.write( "Question 43966: I have a couple more problems today I need steps and solutions for if anyone would be so kind. \r
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\n" ); document.write( "\n" ); document.write( "Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.\r
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\n" ); document.write( "\n" ); document.write( "x³ + 2x² - 5x – 6, x + 3
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Algebra.Com's Answer #28887 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Since you know x+3 is a factor, we can divide the original polynomial by it to find the \"deressed\" polynomial...that can be done either by long division or by synthetic division...in either case we get
\n" ); document.write( "x^2 - x - 2 = 0 and
\n" ); document.write( "(x - 2)(x + 1) = 0
\n" ); document.write( "x = 2 or x = -1
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