document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206980>Question 1206980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which function is equivalent to f(x) = 6x^2 - 13x + 5?\r<BR>\n" );
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document.write( "A. f(x) = (3x - 1)(2x + 5)<BR>\n" );
document.write( "B. f(x) = (3x - 5)(2x - 1)<BR>\n" );
document.write( "C. f(x)= (3x - 1) (2x - 5)<BR>\n" );
document.write( "D. f(x) = (3x - 5)(2x + 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844749 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=844749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2-13x%2B5 ALIGN=MIDDLE  ALT=\"6x%5E2-13x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "All of the answer choices produce the correct quadratic term in the product: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%282x%29=6x%5E2 ALIGN=MIDDLE  ALT=\"%283x%29%282x%29=6x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The constant term is positive; that means the signs in the two factors are the same -- both positive of both negative.<br><BR>\n" );
document.write( "The linear term is negative; that means the signs in both factors must be negative.<br><BR>\n" );
document.write( "So we need the signs in both factors to be negative; the answer is either choice B or choice C.<br><BR>\n" );
document.write( "To determine which is correct, perform the multiplication in each of those choices to find which one produces the correct linear term in the product.<br><BR>\n" );
document.write( "Choice B: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-5%29%282x-1%29 ALIGN=MIDDLE  ALT=\"%283x-5%29%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The linear term in the product is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%282%29%2B%28-1%29%283%29=-10-3=-13 ALIGN=MIDDLE  ALT=\"%28-5%29%282%29%2B%28-1%29%283%29=-10-3=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The linear term in the product is correct.<br><BR>\n" );
document.write( "ANSWER: B<br><BR>\n" );
document.write( "We don't need to look at answer choice C, because choice B is correct.  But observe that the linear term in the product with choice C is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%282%29%2B%28-5%29%283%29=-2-15=-17 ALIGN=MIDDLE  ALT=\"%28-1%29%282%29%2B%28-5%29%283%29=-2-15=-17\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is not correct.<br><BR>\n" );
document.write( " </SPAN>\n" );
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