document.write( "Question 43132: I am attempting to assist my sister with homework, but I am unsure of what to do with this equation. Instructions state to divide polynomials using long division or synthetic division. Please help. $\"x%5E5+%2B+3x+-7+by+x%5E3+%2B+1\"$
\n" ); document.write( "What should I do with the word \"by\"???? \n" ); document.write( "

Algebra.Com's Answer #28169 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
x^5 + 3x -7 by x^3 + 1\r
\n" ); document.write( "\n" ); document.write( "You are asked to divide x^5 + 3x -7
\n" ); document.write( "by x^3 + 1.\r
\n" ); document.write( "\n" ); document.write( "That process is rather hard to show on this site .\r
\n" ); document.write( "\n" ); document.write( "Set up the problem as you would any long-division problem.\r
\n" ); document.write( "\n" ); document.write( "Divide x^3 into x^5 to get x^2 as the 1st term of the quotient.\r
\n" ); document.write( "\n" ); document.write( "Multiply x^2 times (x^3+1)to get x^5+x^2\r
\n" ); document.write( "\n" ); document.write( "Subtract this from x^5+3x-7 to get -x^2+3x-7\r
\n" ); document.write( "\n" ); document.write( "Since dividing this by x^3+1 would lead to negative
\n" ); document.write( "exponents you are finished.\r
\n" ); document.write( "\n" ); document.write( "So the result of dividing is x^2; the remainder is -x^2+3x-7\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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