document.write( "Question 956933: What is the end behavior of f(x)=2x(x-4)^2?
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Algebra.Com's Answer #584742 by addingup(3677) $\"\"$ $\"About$

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$\"f%28x%29=2x%28x-4%29%5E2\"$ Look at the squared operation, $\"%28x-4%29%5E2\"$ . This is the same as (x-4)(x-4), since the square of a number equals the number times itself. Now we have:
\n" ); document.write( " $\"2x%28x-4%29%28x-4%29\"$ Let's follow F.O.I.L. to get rid of the parenthesis:
\n" ); document.write( " $\"x%2Ax-4x-4x%2B16+=+x%5E2-8x%2B16\"$ So we now have:
\n" ); document.write( " $\"2x%28x%5E2%2B8x%2B16%29\"$ . Here we have: $\"2x%2Ax%5E2=+2x%5E3\"$ and $\"2x%2A8x=+16x%5E2\"$ and $\"2x%2A16=+32x\"$ :
\n" ); document.write( " $\"2x%5E3-16x%5E2%2B32x\"$ This is your answer. \n" ); document.write( "

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