document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127897>Question 1127897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the completely factored form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+x%5E3+%2B+5x%5E2+%2B+4x+-+6%3F+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+x%5E3+%2B+5x%5E2+%2B+4x+-+6%3F+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation is in the link here: https://prnt.sc/ldtqsv\r<BR>\n" );
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document.write( "Is my answer correct? I'm not sure. I tried many times to provide the answers through the formula system, so I decided to attach an image of the equation and answers provided. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744366 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=744366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "You have the correct answer. It is choice A. Nice work.\r<BR>\n" );
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document.write( "To prove that (x+3) is a factor, plug x = -3 into f(x) and you should get 0 as a result. This is using the remainder theorem.\r<BR>\n" );
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document.write( "If you were to divide f(x) over (x+3), you should get x^2+2x-2 as the quotient. Solve x^2+2x-2=0 through the quadratic formula and you should get the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2Bsqrt%28%282%29%5E2-4%281%29%28-2%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2Bsqrt%28%282%29%5E2-4%281%29%28-2%29%29%29%2F%282%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2-sqrt%28%282%29%5E2-4%281%29%28-2%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2-sqrt%28%282%29%5E2-4%281%29%28-2%29%29%29%2F%282%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2Bsqrt%2812%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2Bsqrt%2812%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2-sqrt%2812%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2-sqrt%2812%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2Bsqrt%284%2A3%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2Bsqrt%284%2A3%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2-sqrt%284%2A3%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2-sqrt%284%2A3%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2Bsqrt%284%29%2Asqrt%283%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2Bsqrt%284%29%2Asqrt%283%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2-sqrt%284%29%2Asqrt%283%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2-sqrt%284%29%2Asqrt%283%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2B2%2Asqrt%283%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2B2%2Asqrt%283%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2-2%2Asqrt%283%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2-2%2Asqrt%283%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+-1%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1-sqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+-1-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which help set up the other factor of the answer\r<BR>\n" );
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document.write( "Note: if x = k is a root, then x-k is a factor<BR>\n" );
document.write( "So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+-1%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a root, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-%28+-1%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"x+-%28+-1%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor<BR>\n" );
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