document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851954>Question 851954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the following trinomial:<BR>\n" );
document.write( "-5x^2+2x+16<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513044 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=513044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try factoring negative 1 and then make trials to test multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%285x%5E2-2x-16%29 ALIGN=MIDDLE  ALT=\"-1%285x%5E2-2x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and just focus on the quadratic factor, and try to factor it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2Ba%29%28x%2Bb%29=5x%5E2%2B5bx%2Bax%2Bab=5x%5E2%2B%285b%2Ba%29x%2Bab ALIGN=MIDDLE  ALT=\"%285x%2Ba%29%28x%2Bb%29=5x%5E2%2B5bx%2Bax%2Bab=5x%5E2%2B%285b%2Ba%29x%2Bab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This should mean that 5b+a=-2 and ab=-16 but this does not make the process any easier.\r<BR>\n" );
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document.write( "Try different combinations.<BR>\n" );
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document.write( "(5x__2)(x__8)---------- 2 and 40; and 16<BR>\n" );
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document.write( "(5x__8)(x__2)--------- 10 and 8; and 16.  Maybe.<BR>\n" );
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document.write( "(5x__4)(x__4)--------- 20 and 4; and 16<BR>\n" );
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document.write( "The combination that works including which operations in each binomial factor is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-8%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%285x-8%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and since you started with a factor of negative 1, your factorization can be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28-1%29%285x-8%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28-1%29%285x-8%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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