document.write( "Question 1052680: I am having trouble with determining the polynomial function for the problem of two zeros, one is 2 with multiplicity 1 and the other is 1 with multiplicity 3. The polynomial is of the fourth degree and and is asking for the leading coefficient to be 1. \r
\n" ); document.write( "\n" ); document.write( "I really appreciate any help or insight you could give, as I am fairly lost. Thank you! \n" ); document.write( "

Algebra.Com's Answer #668009 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x=2\"$ is a zero so $\"%28x-2%29\"$ is a factor with an exponent of 1.
\n" ); document.write( " $\"x=1\"$ is a zero so $\"%28x-1%29\"$ is a factor with an exponent of 3.
\n" ); document.write( " $\"f%28x%29=1%2A%28x-1%29%5E3%28x-2%29\"$
\n" ); document.write( " $\"f%28x%29=%28x-1%29%5E3%28x-2%29\"$
\n" ); document.write( "Expanding,
\n" ); document.write( " $\"f%28x%29=x%5E4-5x%5E3%2B9x%5E2-7x%2B2\"$
\n" ); document.write( " \n" ); document.write( "

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