document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175475>Question 1175475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the following expression completely:\r<BR>\n" );
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document.write( "x^2-16z+60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801142 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16x%2B60 ALIGN=MIDDLE  ALT=\"x%5E2-16x%2B60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "It will factor into the product of two linear polynomials.<br><BR>\n" );
document.write( "The positive constant (\"+60\") tells us that the signs in both factors are the same; then the negative linear term (\"-16x\") tells us the signs are both negative.<br><BR>\n" );
document.write( "So the polynomial factors in the form<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16x%2B60+=+%28x-a%29%28x-b%29 ALIGN=MIDDLE  ALT=\"x%5E2-16x%2B60+=+%28x-a%29%28x-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "With the given coefficients -16 and +60, we need two integers a and b with a sum of 16 and a product of 60.  Quick mental arithmetic tells us the two numbers are 6 and 10.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16x%2B60+=+%28x-6%29%28x-10%29 ALIGN=MIDDLE  ALT=\"x%5E2-16x%2B60+=+%28x-6%29%28x-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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