document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040832>Question 1040832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a cubic polynomial w/ integer coefficients & roots: positive 1, -1/4, and positive 3/2.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655747 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The factors would be (x-1)(4x+1)(2x-3).  Set each of those equal to zero, and the roots 1, -1/4, and 3/2 would occur.<BR>\n" );
document.write( "Foil the second and third and get (8x^2-10x-3).  Multiply that by (x-1) for 8x^3-8x^2-10x^2+10x-3x+3<BR>\n" );
document.write( "The polynomial is 8x^3-18x^2+7x+3.<BR>\n" );
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