Question

Divide using synthetic division.(x³ − x² − 4x − 6) ÷ (x + 2)-

Answer 1

Answer

$x^{2}-3x+2-\frac{10}{x+2}$

Explanation

For the synthetic division, we have to arrange the coefficient of the numerator and the constant of the denominator as follows, and then follow the steps below:

Finally rearranging the data, considering that the first number of the result is the coefficient of x² and the last is the residual we get:

$x^2-3x+2-\frac{10}{x+2}$