document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146039>Question 1146039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree.<BR>\n" );
document.write( "Zero: 3, multiplicity: 1<BR>\n" );
document.write( "Zero: 2, multiplicity: 3<BR>\n" );
document.write( "Degree: 4 </SPAN>\n" );
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document.write( "A zero of multiplicity 1 at x=3 means one factor of (x-3);<BR>\n" );
document.write( "A zero of multiplicity 3 at x=2 means three factors of (x-2).<br><BR>\n" );
document.write( "1 factor of (x-3) and 3 factors of (x-2) makes the degree 4, so there are no other factors.<br><BR>\n" );
document.write( "And the leading coefficients of 1 in all the factors means the leading coefficient of the polynomial is 1.<br><BR>\n" );
document.write( "ANSWER:<br><BR>\n" );
document.write( "f(x) = (x-3)(x-2)^3<br><BR>\n" );
document.write( "Expand and simplify if required.... </SPAN>\n" );
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