document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=623972>Question 623972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Megan factored the expression -12x^2+52x-35 as (-2x+5)(6x-7) But when Jacob applied the FOIL principle and multiplied out (-2x+5)(6x-7) he got -12x^2+44x-35; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392491 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:\r<BR>\n" );
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document.write( "-12x^2 + 52x - 35\r<BR>\n" );
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document.write( "Factor a trinomial:\r<BR>\n" );
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document.write( "-(6x - 5)(2x -7)\r<BR>\n" );
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document.write( "Multiply the above using FOIL Method:\r<BR>\n" );
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document.write( "6x * 2x = 12x^2\r<BR>\n" );
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document.write( "6x * -7 = -42x\r<BR>\n" );
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document.write( "-5 * 2x = -10x\r<BR>\n" );
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document.write( "-5 * -7 = 35\r<BR>\n" );
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document.write( "12x^2 - 42x - 10x + 35\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "-42x - 10x = -52x\r<BR>\n" );
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document.write( "-1(12x^2 - 52x + 35)\r<BR>\n" );
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document.write( "-1 * 12x^2 = -12x^2\r<BR>\n" );
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document.write( "-1 * -52x = 52x\r<BR>\n" );
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document.write( "-1 * 35 = -35\r<BR>\n" );
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document.write( "We therefore get:\r<BR>\n" );
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document.write( "-12x^2 + 52x - 35\r<BR>\n" );
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document.write( "The Factors are:\r<BR>\n" );
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document.write( "-(6x - 5)(2x - 7)\r<BR>\n" );
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document.write( "There is another way to factor:\r<BR>\n" );
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document.write( "-12x^2 + 52x - 35\r<BR>\n" );
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document.write( "The factors are:\r<BR>\n" );
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document.write( "(-7 + 2x)(5 - 6x)\r<BR>\n" );
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document.write( "Let's check by the FOIL Method:\r<BR>\n" );
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document.write( "-7 * 5 = -35\r<BR>\n" );
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document.write( "-7 * -6x = 42x\r<BR>\n" );
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document.write( "2x * 5 = 10x\r<BR>\n" );
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document.write( "2x * -6x = -12x^2\r<BR>\n" );
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document.write( "-35 + 42x + 10 x - 12x^2\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "42x + 10x = 52x\r<BR>\n" );
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document.write( "-35 + 52x - 12x^2 or\r<BR>\n" );
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document.write( "-12x^2 + 52x - 35\r<BR>\n" );
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document.write( "obuong3@aol.com </SPAN>\n" );
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