document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027809>Question 1027809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Put the function y=10x(x+6) in factored form f(x)=a(x-r)(x-s) and state the values of a, r, and s. \r<BR>\n" );
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document.write( "a=<BR>\n" );
document.write( "r=<BR>\n" );
document.write( "s= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643020 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i'm not exactly sure what they are looking for.\r<BR>\n" );
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document.write( "the equation looks like it is already in factored form.\r<BR>\n" );
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document.write( "it appears to be 10 * (x+6) * (x + 0).\r<BR>\n" );
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document.write( "the form they are looking for is a * (x-r) * (x-s)\r<BR>\n" );
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document.write( "if i'm guessing correctly, then you would get:\r<BR>\n" );
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document.write( "a = 10<BR>\n" );
document.write( "r = -6<BR>\n" );
document.write( "s = 0\r<BR>\n" );
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document.write( "the unfactored equation would be 10x^2 + 60x = 0\r<BR>\n" );
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document.write( "you would factor out the gcf to get 10 * (x^2 + 6x)\r<BR>\n" );
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document.write( "if you tried to factor the quadrtic of x^2 + 6x using the quadratic formula, you would get:\r<BR>\n" );
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document.write( "a = 1<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "c = 0\r<BR>\n" );
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document.write( "sqrt(b^2 - 4ac) = sqrt(36-4*1*0) = sqrt(36) = 6\r<BR>\n" );
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document.write( "quadratic formula of x = (-b +/- sqrt(b^2-4ac))/(2a) would become:\r<BR>\n" );
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document.write( "x = (-6 + 6) / 2 or x = (-6 -6) / 2\r<BR>\n" );
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document.write( "this would result in x = 0 or x = -6\r<BR>\n" );
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document.write( "one of the factors would be x.\r<BR>\n" );
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document.write( "the other factor would be x + 6\r<BR>\n" );
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document.write( "that agrees with what is shown.\r<BR>\n" );
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document.write( "i can't think of any other way to force the result to be in the form indicated.\r<BR>\n" );
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document.write( "i'll stick with my guess.\r<BR>\n" );
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document.write( "a = 10<BR>\n" );
document.write( "r = -6<BR>\n" );
document.write( "s = 0\r<BR>\n" );
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document.write( " </SPAN>\n" );
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