document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76029>Question 76029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor each trinomial, if possible. If the trinomial cannot be factored using integers, write prime.\r<BR>\n" );
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document.write( "Help. \r<BR>\n" );
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document.write( "9p^2+6p-8\r<BR>\n" );
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document.write( "6q^2-13q+6 Cannot you show work please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54622 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54622\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> trinomials  of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > may be factored into (dx+e)(fx+g) where e and g are factors of c, and d and f are factors of a\r<BR>\n" );
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document.write( "remember that positive numbers may have negative factors...keep an eye on the  correct sign requirements\r<BR>\n" );
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document.write( "b is the sum of the products of the factors of a and c\r<BR>\n" );
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document.write( "taking the factors of the product of a and c will show the products that sum to b\r<BR>\n" );
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document.write( "for the first equation...the product of a and c is -72...the factors of -72 that sum to b are 12 and -6\r<BR>\n" );
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document.write( "the factors of a are (9 and 1) and (3 and 3)...the factors of c are (+-1 and +-8) and (+-2 and +-4)\r<BR>\n" );
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document.write( "9 is not an integer factor of 12 or -6 so the a factors are (3 and 3)...to get 12 and -6, the c factors must be (4 and -2)\r<BR>\n" );
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document.write( "so the factors of the equation are (3p+4)(3p-2)\r<BR>\n" );
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document.write( "for the second equation...a X c is 36... factors that sum to b are -4 and -9\r<BR>\n" );
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document.write( "factors of a are (1 and 6) and (2 and 3)...factors of c are (1 and 6) and (2 and 3)<BR>\n" );
document.write( "since both products are negative, one pair of factors will be negative\r<BR>\n" );
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document.write( "6 is not an integer factor of -4 or -9 so the a factors are (2 and 3)...the c factors must be (-2 and -3)\r<BR>\n" );
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document.write( "so the factors of the second equation are (3q-2)(2q-3)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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