document.write( "Question 292683: I can't remember how to \"go backwards\" in this equation with imaginary numbers!
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document.write( "Can you please help explain this problem to me?\r
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document.write( "Write a third degree polynomial equation with rational coefficients that has roots -5 and 6+i\r
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document.write( "Thank you!! \n" );
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Algebra.Com's Answer #211363 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! complex roots occur in conjugate pairs, so 6-i is the third root (third degree)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if r is a root, then x-r is a factor\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x + 5)(x - 6 - i)(x - 6 + i) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply the factors out to get the polynomial \n" ); document.write( " |