document.write( "Question 567287: I need help writing a polynomial function with rational coefficients in standard form with the given zeros 2,3,5. \n" ); document.write( "

Algebra.Com's Answer #366494 by htmentor(1343) $\"\"$ $\"About$

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I need help writing a polynomial function with rational coefficients in standard form with the given zeros 2,3,5.
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\n" ); document.write( "Since the zeros are 2,3,5 we can write the factored equation as
\n" ); document.write( "(x-2)(x-3)(x-5)
\n" ); document.write( "Multiplying the factors and collecting terms gives:
\n" ); document.write( "x^3-10x^2+31x-30
\n" ); document.write( "As a check, we can see read off the zeros from graph of the function:
\n" ); document.write( " $\"graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%5E3-10x%5E2%2B31x-30%29\"$
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