document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193258>Question 193258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If P(x) =3x to the 3rd power + 7x squared - 2x +6, use the remainder theorem to find the remainder when this polynomial is divided by the following binomials.\r<BR>\n" );
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document.write( "x - 3\r<BR>\n" );
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document.write( "x + 2\r<BR>\n" );
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document.write( "x + 1<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( "x - 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145103 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=145103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(x)=3x^3+7x^2-2x-6<BR>\n" );
document.write( "(x-3)<BR>\n" );
document.write( "3|,  3,,7,,-2,,,,6<BR>\n" );
document.write( ",,,,,,,,,,9,,,48,,138<BR>\n" );
document.write( "_________________<BR>\n" );
document.write( ",,,,,3,,16,,46,,144,,,,,REM  144\r<BR>\n" );
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document.write( "P(3)=  3*3^3+7*3^2-2*3+6<BR>\n" );
document.write( "p(3)=81 +63-6+6=144<BR>\n" );
document.write( "(x+2)<BR>\n" );
document.write( "-2|,,,,3,,,,7,,,,-2,,,,6<BR>\n" );
document.write( ",,,,,,,,,,,,,,,-6,,,-2,,,8 <BR>\n" );
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document.write( ",,,,,,,,,3,,,,,1,,,,-4,,,14   ,,,,,rem14\r<BR>\n" );
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document.write( "P(-2)=  3(-2)^3+7(-2)^2-2(-2)+6<BR>\n" );
document.write( "P(-2)=-24+28+4+6=14\r<BR>\n" );
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document.write( "(x+1)<BR>\n" );
document.write( "-1|,,,,,3,,,,7,,,,,-2,,,,6<BR>\n" );
document.write( ",,,,,,,,,,,,,,,-3,,,,-4,,,,6<BR>\n" );
document.write( "____________________<BR>\n" );
document.write( ",,,,,,,,,,3,,,,4,,,,,-6,,,12,,,,,REM12<BR>\n" );
document.write( "P(-1)=  3(-1)^3+7(-1)^2-2(-1)+6<BR>\n" );
document.write( "P(-1)+ -3=7=2=6=12<BR>\n" );
document.write( "(x-5)<BR>\n" );
document.write( "5|,,,,3,,,,,7,,,,,-2,,,,6<BR>\n" );
document.write( ",,,,,,,,,,,,,15,,,110,,,540<BR>\n" );
document.write( "_______________________<BR>\n" );
document.write( ",,,,,,,3,,,,22,,,,108,,546,,,,,,REM  546<BR>\n" );
document.write( "P(5)=  3(5)^3=7(5)^2-2(5)+6<BR>\n" );
document.write( "P(5)=375+175-10+6=546\r<BR>\n" );
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document.write( "instructor  probably  just  wanted  you  to  recognize  remainder  theorem,  and  calc  P(x)\r<BR>\n" );
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document.write( "please  excuse  all  the  commas,  just  trying  to allign  numbers </SPAN>\n" );
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