document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21920>Question 21920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find b so that (x-3) is a factor of f(x)=x^3+bx^2-7x+12.\r<BR>\n" );
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document.write( "Should x-3 replace the x's in the problem and then solve for b?  I've been trying that, but end up with a huge mess for a answer!  Hope you can help.  Thanx. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10556 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find b so that (x-3) is a factor of f(x)=x^3+bx^2-7x+12.<BR>\n" );
document.write( "THERE IS THEOREM CALLED REMAINDER THEOREM WHICH SAYS THAT IF F(X)IS DIVIDED BY X-A,WE GET F(A)AS REMAINDER..IT IS VERY USEFULL THEOREM AND EASY TO PROVE,UNDERSTAND AND USE...IF YOU WANT THE PROOF COME BACK AND I WILL TELL YOU..FOR THE PRESENT LET US USE THE THEOREM<BR>\n" );
document.write( "HERE F(X)IS DIVIDED BY X-3...SO F(3) IS THE REMAINDER.BUT IT IS GIVEN THAT X-3 IS A FACTOR. THAT IS X-3 DIVIDES WITHOUT REMAINDER THAT IS REMINDER IS ZERO..THAT IS F(3)=0<BR>\n" );
document.write( "F(X)=X^3+BX^2-7X+12<BR>\n" );
document.write( "F(3)=3^3+B*3^2-7*3+12=0<BR>\n" );
document.write( "27+9B-21+12=0<BR>\n" );
document.write( "9B=21-27-12=-18<BR>\n" );
document.write( "B=-18/9=-2 </SPAN>\n" );
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