# How do you find the quotient of (5x^3 - 14x + 3) by x -2?

Oct 16, 2016

the quotient is $5 {x}^{2} + 10 x + 6$

#### Explanation:

You can do a long division
The remainder is 15

$\frac{5 {x}^{3} - 14 x + 3}{x - 2} = 5 {x}^{2} + 10 x + 6 + \frac{15}{x - 2}$

I have tried to put the division :

5x³ -14x+3 ∣ x-2
5x³-10x² ∣ 5x²+10x+6
0 +10x²-14x
10x²-20x
0 6x +3
6x-12
0 +15