document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126563>Question 1126563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I need to find restrictions and simplify this problem:<BR>\n" );
document.write( "But I have no idea how to do so.<BR>\n" );
document.write( "6x^2+13x-63<BR>\n" );
document.write( "__Fraction__<BR>\n" );
document.write( "3x^2+11x-42 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742888 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You simplify fractions by canceling like factors in the numerator and denominator.<br><BR>\n" );
document.write( "Since you can only cancel common factors, you can't simplify the fraction in its given form.  You need to factor the numerator and denominator and look for a factor common to both.<br><BR>\n" );
document.write( "There are dozens of methods for factoring a trinomial into the product of two binomials.  But instead of blindly trying to factor either the numerator or denominator alone, let's use the knowledge that the fraction PROBABLY can be simplified, which means there should be a binomial factor common to both numerator and denominator.<br><BR>\n" );
document.write( "With leading terms 6x^2 and 3x^2, and constant terms 42 and 63, a good bet for a common binomial factor is either 3x+7 or 3x-7.<br><BR>\n" );
document.write( "Trying those with the given numerator and denominator, you should find<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%5E2%2B13x-63%29%2F%283x%5E2%2B11x-42%29+=+%28%283x-7%29%282x%2B9%29%29%2F%28%283x-7%29%28x%2B6%29%29+=+%282x%2B9%29%2F%28x%2B6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the simplified fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B9%29%2F%28x%2B6%29 ALIGN=MIDDLE  ALT=\"%282x%2B9%29%2F%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The restrictions are all the values that make the denominator of the ORIGINAL, UNSIMPLIFIED fraction equal to 0: 7/3 and -6. </SPAN>\n" );
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