document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140806>Question 1140806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function with least positive degree and having integral coefficients whose roots are √2 and -4, and whose y-intercept is 16?\r<BR>\n" );
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document.write( "I have no idea what integral coefficients are and what to do with the roots. :(( I tried looking up similar problems online but I failed to see any. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761327 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</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=761327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Roots are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Wanting INTEGER coefficients, another root should be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"-sqrt%282%29\"   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=y=a%28x-sqrt%282%29%29%28x-%28-sqrt%282%29%29%29%28x-%28-4%29%29 ALIGN=MIDDLE  ALT=\"y=a%28x-sqrt%282%29%29%28x-%28-sqrt%282%29%29%29%28x-%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-sqrt%282%29%29%28x%2Bsqrt%282%29%29%28x%2B4%29 ALIGN=MIDDLE  ALT=\"y=a%28x-sqrt%282%29%29%28x%2Bsqrt%282%29%29%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, you want to use the given point of the graph, (0, 16), to solve for the leading coefficient, \"a\".\r<BR>\n" );
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document.write( "You will want to finish your function as polynomial in descending order of degree. </SPAN>\n" );
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