document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209791>Question 1209791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor 15x3  -  5x2 + 6x  -  2 by grouping. What is the resulting expression?\r<BR>\n" );
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document.write( "(5x2 + 2)(3x  -  1)<BR>\n" );
document.write( "(5x2  -  2)(3x + 1)<BR>\n" );
document.write( "(15x2 + 2)(x  -  1)<BR>\n" );
document.write( "(15x2  -  2)(x + 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850447 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=850447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E3+-+5x%5E2+%2B+6x+-+2 ALIGN=MIDDLE  ALT=\"15x%5E3+-+5x%5E2+%2B+6x+-+2\"   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=%2815x%5E3+-+5x%5E2%29+%2B+%286x+-+2%29 ALIGN=MIDDLE  ALT=\"%2815x%5E3+-+5x%5E2%29+%2B+%286x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > pairing terms into two groups\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%283x+-+1%29+%2B+2%283x+-+1%29 ALIGN=MIDDLE  ALT=\"5x%5E2%283x+-+1%29+%2B+2%283x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > factor each group separately\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%5E2%2B2%29%283x+-+1%29 ALIGN=MIDDLE  ALT=\"%285x%5E2%2B2%29%283x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > pull out the GCF 3x-1\r<BR>\n" );
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document.write( "Therefore,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E3+-+5x%5E2+%2B+6x+-+2=%285x%5E2%2B2%29%283x+-+1%29 ALIGN=MIDDLE  ALT=\"15x%5E3+-+5x%5E2+%2B+6x+-+2=%285x%5E2%2B2%29%283x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is an identity. This is a true equation for any x value you plug in.<BR>\n" );
document.write( "Verification using <a  rel=nofollow HREF=\"https://www.wolframalpha.com/input?i=factor+15x%5E3+-+5x%5E2+%2B+6x+-+2\">WolframAlpha</a> (there are other similar online calculators)<BR>\n" );
document.write( "Alternatively you can FOIL out the expression (5x^2+2)(3x-1) to arrive back at 15x^3 - 5x^2 + 6x - 2\r<BR>\n" );
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document.write( "Answer: <font color=red>Choice A</font><BR>\n" );
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