document.write( "Question 1180559: Write an equation of the polynomial, in standard form, with roots 3,-5,2 that also pass through the point (4,54). \n" ); document.write( "

Algebra.Com's Answer #810274 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "With roots 3, -5, and 2, the equation in factored form is

\n" ); document.write( " $\"f%28x%29=a%28x-3%29%28x%2B5%29%28x-2%29\"$

\n" ); document.write( "To determine the constant a, use the information that f(4)=54:

\n" ); document.write( " $\"54=a%281%29%289%29%282%29+=+18a\"$
\n" ); document.write( " $\"a=3\"$

\n" ); document.write( "The equation in factored form is

\n" ); document.write( " $\"f%28x%29=3%28x-3%29%28x%2B5%29%28x-2%29\"$

\n" ); document.write( "Use basic algebraic techniques to convert the equation to standard form.

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