document.write( "Question 1001661: Find the zero of (f), identify all multiple zeros for (x-4) to the third power minus 4(x-4) \n" ); document.write( "

Algebra.Com's Answer #618784 by josgarithmetic(39620) $\"\"$ $\"About$

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$\"f%28x%29=%28x-4%29%5E3-4%28x-4%29\"$
\n" ); document.write( "From here, x=4 would make the function equal 0. Degree 3 for x in the function definition. It appears to be the only zero for the function, or at least the only real zerol\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-4%29%28%28x-4%29%5E2-4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Do the full multiplying to get general form, and it is $\"x%5E3-12x%5E2%2B44x-48\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Test the root of 4 using synthetic division, and the resulting quotient is $\"x%5E2-8x%2B12\"$ which is factorable...\r
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\n" ); document.write( "\n" ); document.write( "The fully factorized function is therefore $\"highlight%28%28x-4%29%28x-6%29%28x-2%29%29\"$ . The roots or zeros are 4, 6, and 2, each of multiplicity ONE. \n" ); document.write( "

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