document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=676344>Question 676344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function f(x), in standard form, of the least degree that has real coefficients, the given zeros (3, -4, 2+[square root of 5]), and a leading coefficient of 1.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420306 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=420306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = 3, so x-3 = 0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = -4, so x+4=0<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Bsqrt%285%29 ALIGN=MIDDLE  ALT=\"2%2Bsqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so x - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2=5 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+-+5+=+0 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B4%29%28x-2%29%5E2-5+=+0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%2B4%29%28x-2%29%5E2-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Foil (x-3)(x+4)<BR>\n" );
document.write( "Foil (x-2)(x-2)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B4x-3x-12%29%28x%5E2-4x%2B4%29-5=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B4x-3x-12%29%28x%5E2-4x%2B4%29-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx-12%29%28x%5E2-4x%2B4%29-5=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx-12%29%28x%5E2-4x%2B4%29-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%28x%5E2%29+%2B+x%5E2%28-4x%29+%2B+x%5E2%284%29+%2B+x%28x%5E2%29+%2B+x%28-4x%29+%2B+x%284%29+%2B+-12%28x%5E2%29+%2B+-12%28-4x%29+%2B+-12%284%29+-+5+=+0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+-+4x%5E3+%2B+4x%5E2+%2B+x%5E3+-+4x%5E2+%2B+4x+-+12x%5E2+%2B+48x+-+48+-+5+=0 ALIGN=MIDDLE  ALT=\"x%5E4+-+4x%5E3+%2B+4x%5E2+%2B+x%5E3+-+4x%5E2+%2B+4x+-+12x%5E2+%2B+48x+-+48+-+5+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E4+-+3x%5E3+-+12x%5E2+%2B+52x+-+53=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E4+-+3x%5E3+-+12x%5E2+%2B+52x+-+53=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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