document.write( "Question 1162040: Find a polynomial with integer coefficients that has degree 3 and zeros 5, and 2𝑖.
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Algebra.Com's Answer #785722 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( " degree $\"3+\"$ \r
\n" ); document.write( "\n" ); document.write( "zeros:
\n" ); document.write( " $\"x%5B1%5D=+5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5B2%5D=2i\"$ ->complex zeros always come in pairs, so you also have \r
\n" ); document.write( "\n" ); document.write( " $\"x%5B3%5D=-2i\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-5%29%28x-2i%29%28x-%28-2i%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-5%29%28x-2i%29%28x%2B2i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-5%29%28x%5E2-%282i%29%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-5%29%28x%5E2-4i%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-5%29%28x%5E2-4%28-1%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-5%29%28x%5E2%2B4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E3+-+5x%5E2+%2B+4x+-+20\"$ -> your answer\r
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