document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760604>Question 760604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the given polynomial<BR>\n" );
document.write( "X^2+4x+3=\r<BR>\n" );
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document.write( "Is this polynomial a prime or can it be sloved. Also can someone break this down for me so I can see how to work it. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462744 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=462744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are looking for two numbers, h and k, so that hk=3 and h+k=4.  You need for h and k to be rational numbers or preferably integers.  Based on the signs in the given polynomial, both h and k must be positive.  Your only choice (for integers) is 3 and 1 which will work.\r<BR>\n" );
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document.write( "Another structuring of the search:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bh%29%28x%2Bk%29 ALIGN=MIDDLE  ALT=\"%28x%2Bh%29%28x%2Bk%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bhx%2Bkx%2Bhk ALIGN=MIDDLE  ALT=\"x%5E2%2Bhx%2Bkx%2Bhk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28h%2Bk%29x%2Bhk ALIGN=MIDDLE  ALT=\"x%5E2%2B%28h%2Bk%29x%2Bhk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "How can <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28h%2Bk%29x%2Bhk=x%5E2%2B4x%2B3 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28h%2Bk%29x%2Bhk=x%5E2%2B4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B3 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is factorable.<BR>\n" );
document.write( "If let h=3, and k=1, then you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B1%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B1%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Because 3*1=3 and 1+3=4 </SPAN>\n" );
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