document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46497>Question 46497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a polynomial with leading coefficient 1 and degree 3 that has 1,1,and 3 as roots. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30820 by </B><A HREF=/tutors/aboutme.mpl?userid=jcmtnez><B>jcmtnez(53)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jcmtnez><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That polynomial can be expressed as:\r<BR>\n" );
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document.write( "(x-1)(x-1)(x-3) Now we have to expand this expression\r<BR>\n" );
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document.write( "(x-1)(x-1)(x-3)=(x^2-2x+1)(x-3)=x^3-2x^2+x-3x^2+6x-3=x^3-5x^2+7x-3\r<BR>\n" );
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document.write( "So the polynomial of degree three that have the solution (1,1,3) is <BR>\n" );
document.write( "x^3-5x^2+7x-3\r<BR>\n" );
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document.write( "I'm glad to help you anytime </SPAN>\n" );
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