document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92728>Question 92728</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>Algebra and Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The polynomial  f(x) divided x-3 results in a quotient of x squared+3x-5 with the remainder of 2. Find f(3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67526 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> undoing the division gives (x-3)(x^2+3x-5)+2 ... x^3+3x^2-5x-3x^2-9x+15+2 ... f(x)=x^3-14x+17\r<BR>\n" );
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document.write( "f(3)=3^3-14(3)+17=27-42+17=2\r<BR>\n" );
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document.write( "this is an example of the remainder theorem; which states that when you divide f(x) by (x-a) the remainder equals f(a) </SPAN>\n" );
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