document.write( "Question 436468: How is x-5 a factor of the polynomial x^2-x-20? I know that x-5 is the answer but I have no idea how to do this.\r
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\n" ); document.write( "Sarah
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Algebra.Com's Answer #301975 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
Solve x - 5 = 0, or x = 5. Then substitute into the equation:\r
\n" ); document.write( "\n" ); document.write( "\"5%5E2+-+5+-+20+=+25+-+5+-+20+=+0\", so 5 is a root. Then by the factor theorem (if a is a root then x - a is a factor), x - 5 is a factor.
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