document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641566>Question 641566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ACC\r<BR>\n" );
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document.write( "Your Open Question<BR>\n" );
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document.write( "Use the remainder theorem to find the remainder when f(x) is divided by 2. then use the factor theorem?\r<BR>\n" );
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document.write( "use the remainder theorem to find the remainder when f(x) is divided by 2. then use the factor theorem to determine whether x+2 is a factor of f(x)<BR>\n" );
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document.write( "f(x)=2x^6-8x^4+x3-20<BR>\n" );
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document.write( "Remainder is?<BR>\n" );
document.write( " is x+2 a factor of f(x)?<BR>\n" );
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document.write( "i tried to have a tutor help me and she confused me even more after she said she doesnt really know what she is doing! please help me n show the work too...soo lost </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403711 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=403711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The remainder theorem is this:\r<BR>\n" );
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document.write( "if you divide f(x) by x-t and you get some remainder 'r', then f(t) = r\r<BR>\n" );
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document.write( "In this case, x+2 is really x-(-2) which matches with x-t. So t = -2\r<BR>\n" );
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document.write( "We can use the theorem in reverse to get\r<BR>\n" );
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document.write( "f(x)=2x^6-8x^4+x^3-20\r<BR>\n" );
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document.write( "f(-2)=2(-2)^6-8(-2)^4+(-2)^3-20 \r<BR>\n" );
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document.write( "f(-2)=2(64)-8(16)-8-20\r<BR>\n" );
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document.write( "f(-2)=128-128-8-20\r<BR>\n" );
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document.write( "f(-2)=-28\r<BR>\n" );
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document.write( "So if you divide 2x^6-8x^4+x^3-20 by x+2, then you get a remainder of -28\r<BR>\n" );
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document.write( "Since this remainder is NOT zero, this means that x+2 is NOT a factor of f(x)=2x^6-8x^4+x^3-20\r<BR>\n" );
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