document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30480>Question 30480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (m) Question: Use synthetic division to find f(-4) if f(x) =x^4+20x^3+138x^2+396x+405\r<BR>\n" );
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document.write( "Possible Answers:<BR>\n" );
document.write( "a. none of these<BR>\n" );
document.write( "b. 6<BR>\n" );
document.write( "c. 7<BR>\n" );
document.write( "d. 5\r<BR>\n" );
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document.write( "Please be specific as to which letter answer is correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17338 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=17338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the synthetic division to find f(-4) if f(x) =x^4+20x^3+396+405. <BR>\n" );
document.write( "---- 1 20 138 396 405<BR>\n" );
document.write( "(-4)| -4 -64 -296 -400<BR>\n" );
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document.write( "-----1 16 74 100 5 <BR>\n" );
document.write( "We observe that the remainder is 5 and therefore<BR>\n" );
document.write( "Answer: f(-4) = 5<BR>\n" );
document.write( "which is your choice (d) 5 <BR>\n" );
document.write( "Note: Leave out the x's and write down the numbers (called coefficients) of the first polynomial on the first line. Then put (-4) (which comes from [x-(-4)] on the second line.<BR>\n" );
document.write( "Start by copying the first 1 onto the bottom line. Multiply by (-4) to get the (-4) and write in the second line underneath 20. Add the top 20 to this (-4) to get 16. Keep repeating this by multiplying each number on the bottom line by <BR>\n" );
document.write( "(-4), and add the result to the top line, with the result of the addition going on the bottom line.<BR>\n" );
document.write( "The last number is the remainder <BR>\n" );
document.write( "Note: How is f(-4) = 5 <BR>\n" );
document.write( "the remainder got on division of f(x) by [x-(-4)] ?<BR>\n" );
document.write( "Answer:: It is the Remainder theorm: If a polynomial f(x) <BR>\n" );
document.write( "of degree n >1 is divided by the linear function (x-r), <BR>\n" );
document.write( "the remainder is the number f(r) \r<BR>\n" );
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document.write( " </SPAN>\n" );
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