document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879815>Question 879815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1).   3y^2 +14y+4<BR>\n" );
document.write( "I think it is unfactorable because I tried different pairings. \r<BR>\n" );
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document.write( "2).   9p^2-q^2+3p<BR>\n" );
document.write( "I think this one is also unfactorable.\r<BR>\n" );
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document.write( "Thank you so much!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531065 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=531065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rather use discriminant to avoid testing different combinations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a discriminant number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  If discriminant is a  square integer, then the quadratic trinomial is factorable.\r<BR>\n" );
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document.write( "3y^2+14y+4,<BR>\n" );
document.write( "check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%5E2-4%2A3%2A4=196-48=148 ALIGN=MIDDLE  ALT=\"14%5E2-4%2A3%2A4=196-48=148\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "What happens if you form sqrt(148)?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%2837%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%2837%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, irrational; so the roots of the polynomial are also irrational, so 3y^2+14y+4 is not factorable (unless you want irrational constants in your binomials).\r<BR>\n" );
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document.write( "9p^2-p+3p, assuming you made a misprint when you showed -q;<BR>\n" );
document.write( "Check yourself...  discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E2-4%2A9%2A3 ALIGN=MIDDLE  ALT=\"%28-1%29%5E2-4%2A9%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... </SPAN>\n" );
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