document.write( "Question 1185503: n=4
\n" ); document.write( "i and 2i are zeros
\n" ); document.write( "f(-2)=120
\n" ); document.write( "f(x)=
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Algebra.Com's Answer #816343 by MathLover1(20850)\"\" \"About 
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\"n=4\"
\n" ); document.write( "\"i+\"and \"2i\" are zeros\r
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\n" ); document.write( "\n" ); document.write( "first use given zeros to find polynomial\r
\n" ); document.write( "\n" ); document.write( "if \"i+\"and \"2i\" are zeros, then we also have \"-i+\"and \"-2i\" (complex zeros always come in pairs)\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29+\"......substitute zeros\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x-i%29%28x-%28-i%29%29%28x-2i%29%28x-%28-2i%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x-i%29%28x%2Bi%29%28x-2i%29%28x%2B2i%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x%5E2-i%5E2%29%28x%5E2-%282i%29%5E2%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x%5E2-%28-1%29%29%28x%5E2-4%28-1%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x%5E2%2B1%29%28x%5E2%2B4%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=a%28x%5E4+%2B+5x%5E2+%2B+4%29+\"\r
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\n" ); document.write( "if \"f%28-2%29=120\"\r
\n" ); document.write( "\n" ); document.write( "\"120=a%28%28-2%29%5E4+%2B+5%28-2%29%5E2+%2B+4%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"120=a%2840%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"a=120%2F40+\"\r
\n" ); document.write( "\n" ); document.write( "\"a=3+\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=3%28x%5E4+%2B+5x%5E2+%2B+4%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=3x%5E4+%2B+15x%5E2+%2B+12+\"\r
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