document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088043>Question 1088043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two zeros of a polynomial are 3-4i and 1+i. What is the lowest possible degree of the polynomial. I believe the quadratic equation would be x^2+xi-4x+5-i. </SPAN>\n" );
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document.write( "Two zeros of a polynomial are 3-4i and 1+i. What is the lowest possible degree of the polynomial. I believe the quadratic equation would be x^2+xi-4x+5-i.<BR>\n" );
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document.write( "Lowest possible degree for the polynomial is 4.  Why?  Complex zeros occur as conjugate pairs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%283-4i%29%29%28x-%283%2B4i%29%29%28x-%281%2Bi%29%29%28x-%281-i%29%29 ALIGN=MIDDLE  ALT=\"%28x-%283-4i%29%29%28x-%283%2B4i%29%29%28x-%281%2Bi%29%29%28x-%281-i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Steps to simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2B4i%29%28x-3-4i%29%28x-1-i%29%28x-1%2Bi%29 ALIGN=MIDDLE  ALT=\"%28x-3%2B4i%29%28x-3-4i%29%28x-1-i%29%28x-1%2Bi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%2B4i%29%28%28x-3%29-4i%29%28%28x-1%29-i%29%28%28x-1%29%2Bi%29 ALIGN=MIDDLE  ALT=\"%28%28x-3%29%2B4i%29%28%28x-3%29-4i%29%28%28x-1%29-i%29%28%28x-1%29%2Bi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%5E2%2B16%29%28%28x-1%29%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"%28%28x-3%29%5E2%2B16%29%28%28x-1%29%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------used knowledge of difference of squares<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-6x%2B9%2B16%29%28x%5E2-2x%2B1%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-6x%2B9%2B16%29%28x%5E2-2x%2B1%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...continue simplifying and then doing the multiplication...<BR>\n" );
document.write( "but you see the degree is 4<BR>\n" );
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