document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137491>Question 1137491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a polynomial of degree 4 with 1 as a zero of multiplicity 2&-3 &5 as zero of multiplicity </SPAN>\n" );
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document.write( "find a polynomial of degree 4 with 1 as a zero of multiplicity 2 and -3 and 5 as zeroes of multiplicity 1<br><BR>\n" );
document.write( "A zero at x=a means a factor of (x-a) in the polynomial function.  If the root is of multiplicity n, then the factor (x-a) is to the n-th power.<br><BR>\n" );
document.write( "So the polynomial in this example is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28x-1%29%5E2%28x%2B3%29%28x-5%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28x-1%29%5E2%28x%2B3%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Expand if required....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C10%2C-100%2C60%2C%28x-1%29%5E2%28x%2B3%29%28x-5%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C10%2C-100%2C60%2C%28x-1%29%5E2%28x%2B3%29%28x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );