document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123580>Question 1123580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the product of the binomial (2x-5) with the trinomial (3x^2+2x-5) is formed, what is the coefficient of the x^2 term? Please help me answer this.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739916 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looking at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2%2B2x-5%29%282x-5%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2%2B2x-5%29%282x-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  there will be two multiplications that produce an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2 ALIGN=MIDDLE  ALT=\"+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2%29%2A%28-5%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2%29%2A%28-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x%29%2A%282x%29+ ALIGN=MIDDLE  ALT=\"+%282x%29%2A%282x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-15x%5E2+ ALIGN=MIDDLE  ALT=\"+-15x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+ ALIGN=MIDDLE  ALT=\"+4x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-11x%5E2+ ALIGN=MIDDLE  ALT=\"+-11x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so the coefficient is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+-11+%29+ ALIGN=MIDDLE  ALT=\"+highlight+%28+-11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You know this because the exponents of x must add to 2  (2+0=2,  1+1=2, and there are no others).  \r<BR>\n" );
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document.write( "———————<BR>\n" );
document.write( "The long way would be to multiply out then combine like terms, and then pick the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+ ALIGN=MIDDLE  ALT=\"x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > coefficient:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2%2B2x-5%29%282x-5%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2%2B2x-5%29%282x-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2%2B2x-5%29%282x%29+%2B+%283x%5E2%2B2x-5%29%28-5%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2%2B2x-5%29%282x%29+%2B+%283x%5E2%2B2x-5%29%28-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286x%5E3+%2B+4x%5E2+-+10x%29+%2B+%28-15x%5E2+-+10x+%2B+25%29+ ALIGN=MIDDLE  ALT=\"+%286x%5E3+%2B+4x%5E2+-+10x%29+%2B+%28-15x%5E2+-+10x+%2B+25%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x%5E3+-+11x%5E2+-+20x+%2B+25+ ALIGN=MIDDLE  ALT=\"+6x%5E3+-+11x%5E2+-+20x+%2B+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "—<BR>\n" );
document.write( "EDITED to make long way answer to be 100% correct (had +5 in trinomial, corrected it to be -5)   </SPAN>\n" );
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