document.write( "Question 290117: i need help wih polynomil long divisoncanu solve this as an example 4 me (16x3 + 40x2 + 72) divided side (2x + 6) \n" ); document.write( "

Algebra.Com's Answer #210017 by jsmallt9(3759) $\"\"$ $\"About$

You can put this solution on YOUR website!
As you will see, long division with polynomials is very similar to long division with numbers. Some notable differences:

When you are figuring out a term of the quotient, you can always match the first term of the dividend (as long as the degree of the divisor is less than or equal to the degree of the dividend). This may require fractions, however. For example:
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\r\n" );
document.write( "        (-3/2)x   + (-11/2)\r\n" );
document.write( "        _________________________\r\n" );
document.write( "2x - 2 /     3x^2 - 5x + 5\r\n" );
document.write( "            -3x^2 + 6x\r\n" );
document.write( "            ---------\r\n" );
document.write( "                  -11x + 5\r\n" );
document.write( "                  -11x + 11\r\n" );
document.write( "                  ---------\r\n" );
document.write( "                        -6\r\n" );
document.write( "

Fill in for terms that are missing. In your problem there is no \"x\" term. So I filled in for it with \"0x\".
After you multiply and subtract, you bring down the next term, not the next digit.

\n" ); document.write( "Here's your problem
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\r\n" );
document.write( "         8x^2 + (-4x) +   12\r\n" );
document.write( "        __________________________\r\n" );
document.write( "2x + 6 /16x^3 + 40x^2 +    0x + 72\r\n" );
document.write( "        16x^3 + 48x^2\r\n" );
document.write( "        -------------\r\n" );
document.write( "                -8x^2 +    0x\r\n" );
document.write( "                -8x^2 + (-24x)\r\n" );
document.write( "                --------------\r\n" );
document.write( "                          24x + 72\r\n" );
document.write( "                          24x + 72\r\n" );
document.write( "                          --------\r\n" );
document.write( "                                 0\r\n" );
document.write( "

\n" ); document.write( "So $\"%2816x%5E3+%2B+40x%5E2+%2B+72%29%2F%282x+%2B+6%29+=+8x%5E2+%2B+%28-4x%29+%2B+12\"$ \n" ); document.write( "

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