document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695456>Question 695456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expression f(x)=x^3+ax^2+bx-6 is exactly divisible by (x-1), and has a<BR>\n" );
document.write( "remainder of 20 when it is divided by (x-2).  Calculate the value of a and b.<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 #428495 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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/cgi-bin/show-face.mpl?user=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+1%5E3%2B+a%281%29%5E2+%2B+b%281%29+-6+=+a+%2B+b+-5+ ALIGN=MIDDLE  ALT=\"f%281%29+=+1%5E3%2B+a%281%29%5E2+%2B+b%281%29+-6+=+a+%2B+b+-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(1) = 0 therefore a + b = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+2%5E3%2B+a%282%5E2%29+%2B+b%282%29+-6+=+4a+%2B+2b+%2B+2+ ALIGN=MIDDLE  ALT=\"f%282%29+=+2%5E3%2B+a%282%5E2%29+%2B+b%282%29+-6+=+4a+%2B+2b+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(2) = 20 therefore 4a + 2b + 2 = 20, transpose 2 then divide by -2<BR>\n" );
document.write( "The result is -2a - b = -9, add to a + b = 5<BR>\n" );
document.write( "The result is -a = -4, therefore a = 4 and b = 1. \r<BR>\n" );
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document.write( "Answer: a = 4 and b = 1 </SPAN>\n" );
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