document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37169>Question 37169</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028241789/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Factor. Check by using FOIL or the distributive property. <BR>\n" );
document.write( "m^3 + 6m^2 + 9m <BR>\n" );
document.write( "and then a question not from the book, b^2-6b-10, factor this one also please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22867 by </B><A HREF=/tutors/aboutme.mpl?userid=jcmtnez><B>jcmtnez(53)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jcmtnez><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=22867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) Here is the first<BR>\n" );
document.write( "m^3+6m^2+9m=0  , This polynomial of degree 3 is divisible by m, therefore we divede by m and get:\r<BR>\n" );
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document.write( "m(m^2+6m+9)=0 Now we have to solve the polynomial of degree two, and the solution is m=-3, and is unique. Finally we get\r<BR>\n" );
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document.write( "m(m+3)(m+3) As the factorization of m^3 + 6m^2 + 9m \r<BR>\n" );
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document.write( "(2) Here is the second<BR>\n" );
document.write( "b^2-6b-10=0, First have to solve the equation, find the roots, we can do this using the general formula or using more advance methods. Using the formula we get as a result b=3+sqrt(19), and b=3-sqrt(19). Then the factors will be\r<BR>\n" );
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document.write( "(b-(3-sqrt(19))(b-(3+(sqrt(19)) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-6b-10=%28b-%283-sqrt%2819%29%29%29%28b-%283%2Bsqrt%2819%29%29%29 ALIGN=MIDDLE  ALT=\"b%5E2-6b-10=%28b-%283-sqrt%2819%29%29%29%28b-%283%2Bsqrt%2819%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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