document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981978>Question 981978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the quadratic equation in the form ax^2+bx+c=0 given the following roots. Answer the questions that follow.<BR>\n" );
document.write( "1.5 and 9<BR>\n" );
document.write( "2.8 and 10<BR>\n" );
document.write( "3.6 and 3<BR>\n" );
document.write( "4.-8 and -10<BR>\n" );
document.write( "5.-3 and 15<BR>\n" );
document.write( "6.-9 and 0<BR>\n" );
document.write( "7. 2.5 and 4.5<BR>\n" );
document.write( "8.-3 and -3<BR>\n" );
document.write( "9.-5/6 and -1/6<BR>\n" );
document.write( "10. -2/3 and 3/4\r<BR>\n" );
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document.write( "Questions:<BR>\n" );
document.write( "A.How did you determine the quadratic equation given its root?<BR>\n" );
document.write( "B.What mathematics concepts or principles did you apply to arrive at the equation?<BR>\n" );
document.write( "C.Are there other ways of getting the quadratic equation given the roots? If there are any,explain and give examples.<BR>\n" );
document.write( "D. Compare your answers with those of your classmates. Did you arrive at the same answers? if NOT,explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602857 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=602857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Zero Product principle  (x-r)(x-s)=0 for roots r and s.  The two multiplied binomials will  (usually) give a quadratic trinomial.\r<BR>\n" );
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document.write( "Example,  #5:<BR>\n" );
document.write( "roots or zeros  -3 and 15.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-3%29%29%28x-15%29=0 ALIGN=MIDDLE  ALT=\"%28x-%28-3%29%29%28x-15%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-15%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-15%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-12x-45=0 ALIGN=MIDDLE  ALT=\"x%5E2-12x-45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=1%2Cb=-12%2Cc=-45%29 ALIGN=MIDDLE  ALT=\"system%28a=1%2Cb=-12%2Cc=-45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Examples like #7,9,10 can be used to obtain something for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E1 ALIGN=MIDDLE  ALT=\"a%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because if a is nonzero, it will not affect the truth for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-r%29%28a-s%29=0 ALIGN=MIDDLE  ALT=\"a%28x-r%29%28a-s%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for roots r and s. </SPAN>\n" );
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