document.write( "Question 1110854: This type of problem was not shown in our notes:
\n" ); document.write( "A polynomial function is described. Find all remaining zeros. Degree: 3 Zeros: -1,i.\r
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Algebra.Com's Answer #725843 by ikleyn(52863) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Hey,\r
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\n" ); document.write( "\n" ); document.write( "the problem is formulated INCORRECTLY.\r
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\n" ); document.write( "\n" ); document.write( "The correct formulation is THIS:\r
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document.write( "    A polynomial function with real coefficients is given.\r\n" );
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document.write( "    Find all remaining zeros. Degree: 3       Zeros: -1,i.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The theory which was not explained to you is THIS:\r
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document.write( "    If the polynomial with real coefficients has a complex root  (a+ib),\r\n" );
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document.write( "    then it has the conjugate complex number  (a-ib)  as a root, too.\r\n" );
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document.write( "In your case, since you are given that the complex number \"i\" is the zero, it implies that the complex number \"-i\" is the root to your polynomial, too.\r\n" );
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document.write( "Thus the list of zeroes in your case is {-1, i, -i}.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answered, solved and completed.\r
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