document.write( "Question 400287: what is 8x^5-6x^2+9x+9 divided by 4x^3-1 simplified? \n" ); document.write( "

Algebra.Com's Answer #283539 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
Long division with polynomials is similar to long division with numbers.
\n" ); document.write( "

\r\n" );
document.write( "           2x^2\r\n" );
document.write( "          ________________________________________\r\n" );
document.write( "4x^3 - 1 / 8x^5 +  0x^4 +  0x^3 + (-6x^2) + 9x + 9\r\n" );
document.write( "           8x^5 +                  -2x^2\r\n" );
document.write( "          -------------------------------\r\n" );
document.write( "                                   -4x^2  + 9x + 9\r\n" );
document.write( "

\n" ); document.write( "Since 4x^3 will not divide into -4x^2 we must stop here. The -4x^2 + 9x + 9 is the remainder. And if you remember that you put remainders in a numerator with the divisor in the denominator, then you will see that:
\n" ); document.write( "

\n" ); document.write( "

\n" );