document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404615>Question 404615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, can you please help me??\r<BR>\n" );
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document.write( "1. I need to factor this problem first:<BR>\n" );
document.write( "  2x^2+2x+1   ---> I think it is prime, can you tell if I'm correct, please?\r<BR>\n" );
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document.write( "2.  I also need to solve the following equation:<BR>\n" );
document.write( "   8x^3+1=0 ---> I tried doing the sum of two cubes, and ended up with x= -1/2, 1/2, and 1/2...can you please tell me if I'm doing it wrong, and show me how to do it correctly?\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 #285977 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=285977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. You are right it is prime. A quick way to tell if it is prime is to find the value of <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;\" >. You may recognize this as the expression inside the square root in the Quadratic Formula. This is expression is called the discriminant. It can be used to determine the number and types of solutions to a quadratic equaiton. It can also be used to determine if the quadratic will factor.<br><BR>\n" );
document.write( "The value of your discriminant:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%5E2-4%282%29%281%29 ALIGN=MIDDLE  ALT=\"%282%29%5E2-4%282%29%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4%282%29%281%29 ALIGN=MIDDLE  ALT=\"4-4%282%29%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+-+8 ALIGN=MIDDLE  ALT=\"4+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the discriminant is not a perfect square, then the quadratic expression will not factor. -4 is not a perfect square (4 is but not -4) so this verifies that the expression is prime.<br><BR>\n" );
document.write( "2. I solved this problem for someone else earlier today. <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.404639.html>Click here</A> to see it. </SPAN>\n" );
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