document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132740>Question 132740</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495013579/algebrahomeworkh>Algebra & Trigono,etry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the x and y intercepts of the equation.\r<BR>\n" );
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document.write( "x^2 + 8x +12 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97033 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation, as you presented it, doesn't have any \"intercepts.\"  This quadratic equation has two solutions or roots that would be the x-intercepts of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28x%29+=x%5E2+%2B+8x+%2B12 ALIGN=MIDDLE  ALT=\"y+=+f%28x%29+=x%5E2+%2B+8x+%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This function would also have a y-intercept at (0,f(0)).\r<BR>\n" );
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document.write( "If you meant to ask for the x-intercepts of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28x%29+=x%5E2+%2B+8x+%2B12 ALIGN=MIDDLE  ALT=\"y+=+f%28x%29+=x%5E2+%2B+8x+%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the method to find them consists of setting the function equal to 0, resulting in the equation you provided, and then solving for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+8x+%2B12+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+8x+%2B12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "6 * 2 = 12 and 6 + 2 = 8, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%28x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore x = -6 or x = -2, and the x-intercepts of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28x%29+=x%5E2+%2B+8x+%2B12 ALIGN=MIDDLE  ALT=\"y+=+f%28x%29+=x%5E2+%2B+8x+%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the two points denoted by the ordered pairs (-6,0) and (-2,0).\r<BR>\n" );
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document.write( "As previously discussed the y-intercept of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28x%29+=x%5E2+%2B+8x+%2B12 ALIGN=MIDDLE  ALT=\"y+=+f%28x%29+=x%5E2+%2B+8x+%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > is at the point (0,f(0)).  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=0%5E2+%2B+8%280%29+%2B12=12 ALIGN=MIDDLE  ALT=\"f%280%29+=0%5E2+%2B+8%280%29+%2B12=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the y-intercept is at the point (0,12).  </SPAN>\n" );
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