document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039605>Question 1039605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with the following:\r<BR>\n" );
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document.write( "1.  t^4 - 19t^2 + 48\r<BR>\n" );
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document.write( "I got 4,-4, sqrt{3}, negative sqrt{3} for the zeros using synthetic but it was wrong.\r<BR>\n" );
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document.write( "When I factored the equation  out completely i got (x+4)(x-4)(x+3)(x-3) but it was wrong.\r<BR>\n" );
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document.write( "2. f(x) = x^3 + 6x^2 + 11x + 12. Write the polynomial as the product of linear factors.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654375 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=654375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1 is quadratic form.  Substitute for t^2 and follow what you know.\r<BR>\n" );
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document.write( "#2 will have negative roots, and maybe some positive roots.  Check using synthetic division for pos & neg of 1, 2, 3, 4, 6.\r<BR>\n" );
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document.write( "The only REAL root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the linear binomial factor, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4 ALIGN=MIDDLE  ALT=\"x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   ( I used Google Search Engine's graphing of function feature instead of actually doing synthetic division).   \"product of linear binomials\"?   No.  Not unless you want two complex factors, too.  You can use general solution for quadratic equation for that.\r<BR>\n" );
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document.write( "Synthetic Division checking  root  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives you coefficients <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">1, 2, 3</PRE><BR>\n" );
document.write( "Meaning the factorization <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%5E2%2B2x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%5E2%2B2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "Roots for the quadratic factor are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Bi%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"-1%2Bi%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-i%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"-1-i%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   General solution for quadratic formula will give those.\r<BR>\n" );
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document.write( "Full factorization of f is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B4%29%28x%2B1-i%2Asqrt%282%29%29%28x%2B1%2Bi%2Asqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B4%29%28x%2B1-i%2Asqrt%282%29%29%28x%2B1%2Bi%2Asqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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