document.write( "Question 764823: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.\r
\n" ); document.write( "\n" ); document.write( "8, -14, and 3 + 9i \n" ); document.write( "

Algebra.Com's Answer #465779 by josgarithmetic(39617) $\"\"$ $\"About$

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The other needed zero is 3-9i, because complex zeros come in conjugate pairs.\r
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\n" ); document.write( "\n" ); document.write( "Your function in a form other than general (here being factored) will be
\n" ); document.write( " $\"p%28x%29=%28x-8%29%28x%2B14%29%28x-%283%2B9i%29%29%28x-%283-9i%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "You asked for \"real coefficients\" and in \"standard form\". In keeping with that, you probably want the quadratic factor corresponding to the two complex factors containing imaginary components. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-3-9i%29%28x-3%2B9i%29=%28x-3%29%5E2-%289i%29%5E2=x%5E2-6x%2B9%2B81=x%5E2-6x%2B90\"$ \r
\n" ); document.write( "\n" ); document.write( "Finally without showing any complex numbers plainly, your standard form function if other than general form, is $\"highlight%28p%28x%29=%28x-8%29%28x%2B14%29%28x%5E2-6x%2B90%29%29\"$ \n" ); document.write( "

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