document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171628>Question 1171628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the following equation a, b, and c are positive real numbers and a < b < c .\r<BR>\n" );
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document.write( "y=−(x+a)(x−b)^2 (x+c)\r<BR>\n" );
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document.write( "State the expression, in terms of a, b and c, that represents the y-intercept. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796532 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The y intercept always occurs when x = 0\r<BR>\n" );
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document.write( "Plug in x = 0 to get,<BR>\n" );
document.write( "y = -(x+a)*(x-b)^2*(x+c)\r<BR>\n" );
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document.write( "y = -(0+a)*(0-b)^2*(0+c)\r<BR>\n" );
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document.write( "y = -(a)*(-b)^2*(c)\r<BR>\n" );
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document.write( "y = -a*b^2*c\r<BR>\n" );
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document.write( "The y intercept is -a*b^2*c<BR>\n" );
document.write( "The location of the y intercept as an (x,y) point is (0, -a*b^2*c)\r<BR>\n" );
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document.write( "Since a,b,c are positive this makes a*b^2*c to be positive as well.<BR>\n" );
document.write( "This flips to -a*b^2*c being negative.\r<BR>\n" );
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document.write( "Visually this indicates the function curve crosses the y axis somewhere below the x axis.\r<BR>\n" );
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document.write( "Answer:  The y intercept is -a*b^2*c and it's some negative number.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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