document.write( "Question 357714: Find a 3^10 degree polynomial function with real coefficients; given zeros are 2 and 2i, and f(1) = 10
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Algebra.Com's Answer #255449 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since $\"2i\"$ is a root, then $\"-2i\"$ is also a root.
\n" ); document.write( " $\"f%28x%29=a%28x-2%29%28x%2B2i%29%28x-2i%29\"$
\n" ); document.write( " $\"f%28x%29=a%28x-2%29%28x%5E2%2B4%29\"$
\n" ); document.write( " $\"f%281%29=a%281-2%29%281%2B4%29=10\"$
\n" ); document.write( " $\"a%28-1%29%285%29=10\"$
\n" ); document.write( " $\"a=-2\"$
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\n" ); document.write( " $\"f%28x%29=-2%28x-2%29%28x%5E2%2B4%29\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%5E3%2B4x-2x%5E2-8%29\"$
\n" ); document.write( " $\"highlight%28f%28x%29=-2x%5E3%2B4x%5E2-8x%2B16%29\"$ \r
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