document.write( "Question 825386: Write a polynomial function that has the zeros 4, 2, and 1 and has a leading coefficient of 1. Then graph the function. \n" ); document.write( "

Algebra.Com's Answer #497371 by jsmallt9(3758) $\"\"$ $\"About$

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A general form for a polynomial in factored form is:
\n" ); document.write( " $\"f%28x%29+=+a%28x-z%5B1%5D%29%28x-z%5B2%5D%29\"$ ...
\n" ); document.write( "where \"a\" is the leading coefficient and the z's are the zeros of the polynomial. Using the given leading coefficient and the given zeros we get:
\n" ); document.write( " $\"f%28x%29+=+%281%29%28x-4%29%28x-2%29%28x-1%29\"$

\n" ); document.write( "All that is left is to multiply this out:
\n" ); document.write( " $\"f%28x%29+=+%28x-4%29%28x-2%29%28x-1%29\"$
\n" ); document.write( " $\"f%28x%29+=+%28x%5E2-6x%2B8%29%28x-1%29\"$
\n" ); document.write( " $\"f%28x%29+=+x%5E3-7x%5E2%2B11x-8\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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