document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92844>Question 92844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help on this problem. I haven't taken algebra in years so im a little rusty.\r<BR>\n" );
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document.write( "Q: What is the remainder when x^3+5x^2-6x+10 is divided by x+3?\r<BR>\n" );
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document.write( "The book says that the answer is 46 but i'm not sure how to get that.<BR>\n" );
document.write( "Thanks alot.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67596 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=67596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> remember long division? ... you can use the same technique with polynomials\r<BR>\n" );
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document.write( "372 is the same as 3(10^2)+7(10)+2 ... just like 3x^2+7x+2\r<BR>\n" );
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document.write( "so, dividing x+3 into x^3+5x^2-6x+10 ... x goes into x^3, x^2 times ... (x^2)(x+3) is x^3+3x^2\r<BR>\n" );
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document.write( "(x^3+5x^2-6x+10)-(x^3+3x^2) is 2x^2-6x+10 ... x goes into 2x^2, 2x times ... (2x)(x+3) is 2x^2+6x\r<BR>\n" );
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document.write( "(2x^2-6x+10)-(2x^2+6x) is -12x+10 ... x goes into 12x+10, -12 times ... (-12)(x+3) is -12x-36\r<BR>\n" );
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document.write( "(12x+10)-(-12x-36) is 46 ... this is the remainder (it is not divisible by x)\r<BR>\n" );
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document.write( "this is done like long division ... with all the same power terms lined up vertically\r<BR>\n" );
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document.write( "not the case here, but if you were missing a term; like x^3+x-7 (no x^2 term); you would put in a zero for a place holder x^3+0x^2+x-7 ... to keep things properly aligned </SPAN>\n" );
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