Question

Divide:4x3 3x² + 2x + 11x-1[ ? ]x² + [ ]x +[] +x-1

Answer 1

To make the division we first write it in standard division form:

Now, we need to divide the first term of the dividend by the first term of the divisor, that is:

`(4x^3)/(x)=4x^2`

We write this above the first term and multiply it by the divisor; we write the result below the dividend with the signs change:

Now we add the dividend with what we found in the previous step and write the result below:

Now we take the same steps as before using the first term of the residual we found and the divisor until we have a residual with a degree lower than the degree of the divisor; this is shown below:

Therefore, the we have that the result is:

`4x^2+x+3+(4)/(x-1)`