Question

Hi dear! Can you help me to solve exercise #19 please!!!

Answer 1

First, set up the division problem, that is,

Now, since

`x^3`

divided by x is

`x^2`

we have

or equivalently

Since the remainder is -x-9 and its degree is less than 2 (which is the degree of the divisor), then we have that

so, the answer is:

`(x^3-9)/(x^2+1)=x-(x+9)/(x^2+1)`