document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30354>Question 30354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "Factor: 2x^4-5x^3-10x^2+15x+18\r<BR>\n" );
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document.write( "(a) (2x-3) (x+1) (x+2) (x-3)<BR>\n" );
document.write( "(b) 2x+3) (x-1) (x-2) (x+3)<BR>\n" );
document.write( "(c) (2x+3) (x+1) (x-2) (x-3)<BR>\n" );
document.write( "(d) (2x-3) (x-1) (x+2) (x+3)\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17107 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=17107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = 2x^4-5x^3-10x^2+15x+18 = 0<BR>\n" );
document.write( "Trying values by inspection <BR>\n" );
document.write( "x = -1, 2 ,3 and (-3/2) hold<BR>\n" );
document.write( "Therefore [x-(-1)], (x-2), (x-3) and (2x+3) are the factors<BR>\n" );
document.write( "Hence 2x^4-5x^3-10x^2+15x+18 = (2x+3) (x+1) (x-2) (x-3)<BR>\n" );
document.write( "Therefore choice (c) (2x+3) (x+1) (x-2) (x-3) is correct<BR>\n" );
document.write( "Remark: So much is the answer if the question is a 1 mark - marking the right answer question.<BR>\n" );
document.write( "If it carries more marks, then the steps are<BR>\n" );
document.write( "By inspection x = -1 is a root of f(x) = 0<BR>\n" );
document.write( "This means (x+1) is a factor<BR>\n" );
document.write( "On long division of (2x^4-5x^3-10x^2+15x+18 ) by (x+1)<BR>\n" );
document.write( "You get (2x^3-7x^2-3x+18)=g(x) say<BR>\n" );
document.write( "By inspection x = 2 is a root of g(x) = 0<BR>\n" );
document.write( "This means (x-2) is a factor<BR>\n" );
document.write( "On long division of (2x^3-7x^2-3x+18)by (x-2)<BR>\n" );
document.write( "you get (2x^2-3x-9)<BR>\n" );
document.write( "And (2x^2-3x-9)= (x-3)(2x+3)<BR>\n" );
document.write( "Therefore 2x^4-5x^3-10x^2+15x+18 = (2x+3) (x+1) (x-2) (x-3) which is choice (c)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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