document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618981>Question 618981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x+a is a factor of the polynomial x2+px+q,  x2+mx+n. Prove that a= n-q/m-p. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389403 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"x+a is a factor\" implies that -a is a root of the polynomial, i.e.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a^2 - pa + q = a^2 - ma + n = 0\">\r<BR>\n" );
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document.write( "Cancel the a^2 and we are left with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -pa + q = -ma + n\">, isolate terms with \"a\" in it and factor.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a(-p + m) = n - q \Rightarrow a = \frac{n-q}{m-p}\"> </SPAN>\n" );
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