document.write( "Question 325011: How I factor x^4-2x^3-8x+16 \n" ); document.write( "

Algebra.Com's Answer #232735 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E4-2x%5E3-8x%2B16%29+\"$
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\n" ); document.write( "Hint : $\"x=2\"$ is the only real root.
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\n" ); document.write( "Polynomial long division yields,
\n" ); document.write( " $\"%28x%5E4-2x%5E3-8x%2B16%29%2F%28x-2%29=x%5E3-8\"$
\n" ); document.write( "A difference of two cubes factors,
\n" ); document.write( " $\"x%5E3-8=%28x-2%29%28x%5E2%2B2x%2B4%29\"$
\n" ); document.write( "So then putting it all together,
\n" ); document.write( " $\"x%5E4-2x%5E3-8x%2B16=%28x-2%29%5E2%28x%5E2%2B2x%2B4%29\"$ \n" ); document.write( "

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