# How do you solve (x ^ { 3} + 5x ^ { 2} \cdot 6x - 2) \div ( x - 1)?

Nov 26, 2017

$31 {x}^{2} + 31 x + 31 + \setminus \frac{29}{x - 1}$

#### Explanation:

First, we can simplifying the terms of the dividend:

$\left({x}^{3} + 5 {x}^{2} \setminus \cdot 6 x - 2\right) \setminus \div \left(x - 1\right)$

$= \left({x}^{3} + 30 {x}^{3} - 2\right) \setminus \div \left(x - 1\right)$

$= \left(31 {x}^{3} - 2\right) \setminus \div \left(x - 1\right)$

Since the divisor is in the form $\left(x - c\right)$, we can use synthetic division: