document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968373>Question 968373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a.)  Write the equation below in factored form and identify its x-intercepts.\r<BR>\n" );
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document.write( "y=x^2+12x+35\r<BR>\n" );
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document.write( "b.) Now write the equation in vertex form.\r<BR>\n" );
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document.write( "c.)now sketch the graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591766 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=591766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a):\r<BR>\n" );
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document.write( "Factorize the right-hand member and you have the factored form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B5%29%28x%2B7%29 ALIGN=MIDDLE  ALT=\"y=%28x%2B5%29%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "You also see directly from this that the roots are  -5 and -7.\r<BR>\n" );
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document.write( "(b):\r<BR>\n" );
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document.write( "Complete the Square for the quadratic right-hand expression.  See your textbook's lesson on this or study the lesson available here:  <a  rel=nofollow HREF=\"http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev\">http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev</a>.\r<BR>\n" );
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document.write( "Your term to use is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F2%29%5E2=6%5E2 ALIGN=MIDDLE  ALT=\"%2812%2F2%29%5E2=6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x%2B35 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x%2B35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x%2B6%5E2%2B35-6%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x%2B6%5E2%2B35-6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%5E2%2B35-36 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%5E2%2B35-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28x%2B6%29%5E2-1%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28x%2B6%29%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can compare how the two forms of equation appear.  The standard form, found after completing the square, lets you read the vertex directly from the equation.  Vertex is a minimum, at (-6,-1).\r<BR>\n" );
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document.write( "Graph the equation?<BR>\n" );
document.write( "You have the vertex, you know it is a minimum, and you have the two roots.  You can graph this. </SPAN>\n" );
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