document.write( "Question 1037393: Degree 5; zeros:-2;-i;3+i \n" ); document.write( "

Algebra.Com's Answer #652058 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
Degree 5; zeros:-2;-i;3+i
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document.write( "If one zero is A+Bi, then A-Bi is also a zero.\r\n" );
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document.write( "So since one zero is -i, then +i is also a zero.\r\n" );
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document.write( "And since one zero is 3+i, then 3-i is also a zero.\r\n" );
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document.write( "So these are the 5 zeros:\r\n" );
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document.write( "   x=-2,  x=-i;   x=+i;   x=3+i;   x=3-i\r\n" );
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document.write( "Get 0 on the right of all 5 equations:\r\n" );
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document.write( " x+2=0;  x+i=0;  x-i=0; x-3-i=0; x-3+i=0\r\n" );
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document.write( "Multiply both sides of all those 5 equations together:\r\n" );
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document.write( " (x+2)(x+i)(x-i)(x-3-i)(x-3+i) = 0\r\n" );
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document.write( "Multiply all those together (it's a lot of work) and set f(x)\r\n" );
document.write( "equal to what you get.  If you have trouble, tell me in the \r\n" );
document.write( "thank you note\r\n" );
document.write( "form below and I'll get back to you by email.  No charge ever.\r\n" );
document.write( "I do this as a hobby.\r\n" );
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document.write( "Edwin

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