document.write( "Question 89973: Hello can someone help with this problem?\r
\n" ); document.write( "\n" ); document.write( "What is the remainder when x^7-x^6+x^5-x^4+4 is divided by (x-1)?
\n" ); document.write( "

Algebra.Com's Answer #65310 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Hello can someone help with this problem?
\n" ); document.write( "What is the remainder when x^7-x^6+x^5-x^4+4 is divided by (x-1)?
\n" ); document.write( "------------
\n" ); document.write( " use the Remainder Theorem which says
\n" ); document.write( "the answer is f(1)= 1-1+1-1+4 = 4
\n" ); document.write( "-----------
\n" ); document.write( "Use synthetic division:
\n" ); document.write( "1)....1....-1....1....-1....0....0....0....4
\n" ); document.write( "........1....1....1.....0.....0...0....0...|..4\r
\n" ); document.write( "\n" ); document.write( "---------------------
\n" ); document.write( "Dividing by x-1 gives a Quotient of x^6+x^5+x^4+1
\n" ); document.write( "and a Remainder of 4
\n" ); document.write( "=============================\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );