document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47631>Question 47631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi i was wandering if you could please answer the following question on factorising cubic polynomails using long division:<BR>\n" );
document.write( "4x^3+35x^2+84x+45<BR>\n" );
document.write( "The answer in the back of the book for that question was (4x+3)(x+3)(x+5)\r<BR>\n" );
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document.write( "I can factor cubic polynomials using long divsion when they don't have a number in front of x^3, e.g x^3+35x^2=84x+45. But i can't do the cubic polynomials with a number infront of x^3.<BR>\n" );
document.write( "I would be grateful if you could please help <BR>\n" );
document.write( "Thankyou\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31515 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=31515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^3+35x^2+84x+45<BR>\n" );
document.write( "The answer in the back of the book for that question was (4x+3)(x+3)(x+5) \r<BR>\n" );
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document.write( "If that is the answer in the back of the book the algebraic expression <BR>\n" );
document.write( "is 4x^3=35x^2+24x+45 and not what you posted.\r<BR>\n" );
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document.write( "Now, how do you go about factoring it?\r<BR>\n" );
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document.write( "That depends on what you have learned up to this point in you study<BR>\n" );
document.write( "of algebra.\r<BR>\n" );
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document.write( "1st You might graph it if you have a graphing calculator.<BR>\n" );
document.write( "2nd You might know that if \"p/q\" is a zero of the expression <BR>\n" );
document.write( "   then p is a factor of 45 and q is a factor of 4.  Then if<BR>\n" );
document.write( "   p/q is a zero one of the factors of the expression is (qx-p).\r<BR>\n" );
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document.write( "If you know these things you should be able to factor expressions<BR>\n" );
document.write( "of this kind that have rational zeroes.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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