document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836899>Question 836899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, \r<BR>\n" );
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document.write( "I am having trouble with the following question, ant help would be gratefully received.\r<BR>\n" );
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document.write( "Kind regards, \r<BR>\n" );
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document.write( "Hugh\r<BR>\n" );
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document.write( "Factorise the following expressions.\r<BR>\n" );
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document.write( "Question A\r<BR>\n" );
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document.write( "(i) x2 &#8722; x &#8722; 42 \r<BR>\n" );
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document.write( "(ii) 9m2 &#8722; 81n2 \r<BR>\n" );
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document.write( "Question B\r<BR>\n" );
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document.write( "In parts (i), (ii) below you should include each step in your<BR>\n" );
document.write( "reasoning and check that your solution is correct.\r<BR>\n" );
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document.write( "(i) Factorise then solve the equation x2 + 2x&#8722;24 = 0. \r<BR>\n" );
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document.write( "(ii) Explain how you could use your answer to part (B)(i) to solve the<BR>\n" );
document.write( "equation 7x2 + 14x&#8722;168 = 0.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504406 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=504406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The same question for (i) and (ii) in \"question A\" was answered one or two days ago.\r<BR>\n" );
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document.write( "(i)  Use the integers, 6 and 7.<BR>\n" );
document.write( "+6-7=-1\r<BR>\n" );
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document.write( "(ii)  This is the difference of squares so the factorization is based on the formula, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-a%29%28x%2Ba%29=x%5E2-a%5E2 ALIGN=MIDDLE  ALT=\"%28x-a%29%28x%2Ba%29=x%5E2-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Question B<BR>\n" );
document.write( "Each term in (ii) contains a factor of 7.<BR>\n" );
document.write( "This is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x%5E2%2B2x-24%29 ALIGN=MIDDLE  ALT=\"7%28x%5E2%2B2x-24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Look then at the factorizations for -24=-1*6*4 and you should be able to factor the quadratic expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x%2B6%29=x%5E2%2B2x-24 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x%2B6%29=x%5E2%2B2x-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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