document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254719>Question 254719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a)     How many solutions can an equation whose form is (x-1)(x –2)(x – 3) = 0 have?<BR>\n" );
document.write( "b)    Can you use the information you obtained in part a) and generalize how many maximum solutions you would expect in each of the following four cases? How?  (Do NOT try to solve the following equations):<BR>\n" );
document.write( "                                  i.    x4 +x3+ x2+ x +x0 = 0<BR>\n" );
document.write( "                                ii.    x54 +x12 + x11 + x10 + 23 = 0<BR>\n" );
document.write( "                               iii.    x99 +x98 +x97 + ….. + x3 + x2 + x1 + x0 = 0<BR>\n" );
document.write( "                               iv.    x34 + x32 + 1 = 0<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187040 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=187040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) How many solutions can an equation whose form is (x-1)(x –2)(x – 3) = 0 have?<BR>\n" );
document.write( "ANSWER -> using the zero product property, we will get 3 answers: 1, 2, and 3.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "b) Can you use the information you obtained in part a) and generalize how many maximum solutions you would expect in each of the following four cases? How? (Do NOT try to solve the following equations):<BR>\n" );
document.write( "i. x^4 +x^3+ x^2+ x^1 +x^0 = 0<BR>\n" );
document.write( "ANSWER -> There will be at most 4 solutions<BR>\n" );
document.write( "ii. x^54 +x^12 + x^11 + x^10 + 23 = 0<BR>\n" );
document.write( "ANSWER -> There will be at most 54 solutions<BR>\n" );
document.write( "iii. x^99 +x^98 +x^97 + ….. + x^3 + x^2 + x^1 + x^0 = 0<BR>\n" );
document.write( "ANSWER -> There will be at most 99 solutions<BR>\n" );
document.write( "iv. x^34 + x^32 + 1 = 0<BR>\n" );
document.write( "ANSWER -> There will be at most 34 solutions.<BR>\n" );
document.write( "IN general the maximum number of solutions will be the largest degree of the polynomial. </SPAN>\n" );
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