document.write( "Question 920869: n=3 2 and 2i are zeros f(1)=-5
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Algebra.Com's Answer #558603 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
given:
\n" ); document.write( "\"n=3+\" ...........degree of the function\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=2\" and
\n" ); document.write( "\"x%5B2%5D=2i\" are zeros=> if complex number \"2i\" is zero, then \"x%5B3%5D=-2i\" is zero too; they always come in pairs\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29=-5\"\r
\n" ); document.write( "\n" ); document.write( "you can use zero product theorem to find equation:\r
\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-2%29%28x-2i%29%28x-%28-2i%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x-2i%29%28x%2B2i%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x%5E2-%282i%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x%5E2-4%28i%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x%5E2-4%28-1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x%5E2%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E3%2B4x%5E2-2x%5E2-8\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E3%2B2x%5E2-8\"\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%2B2x%5E2-8%29+\"\r
\n" ); document.write( "\n" ); document.write( "check:\"f%281%29=-5\"\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29=1%5E3%2B2%2A1%5E2-8\"\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29=1%2B2-8\"\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29=3-8\"\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29=-5\" ...this verifies our solution for \"f%28x%29\" \r
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