The answer for this process of long division is, therefore:
![q=2x^2+2x+3](https://img.qammunity.org/2023/formulas/mathematics/college/e5j55jv9e0i7csnwnahh9p6w5dn5iy2923.png)
To find the result for this long division, we needed to divide the first term of the polynomial by the x in the divisor. Then, if we see the first graph, we have:
![(2x^3)/(x)=2x^2](https://img.qammunity.org/2023/formulas/mathematics/college/z92tipppku053ruz5x0thp2i8br47huf0z.png)
Then, we need to multiply this term by the divisor (x - 3), and then, subtract the result from the first two terms of the dividend. We can see as follows: