Question

divide the following polynomials.
$(x^2 - x - 2) \div (x + 1) =$

Explanation:

Step1: Factor the quadratic polynomial

Factor $x^2 - x - 2$ into binomials:
$x^2 - x - 2 = (x+1)(x-2)$

Step2: Cancel common factors

Divide the factored polynomial by $x+1$, cancel the common $(x+1)$ term (where $x
eq -1$):
$\frac{(x+1)(x-2)}{x+1} = x-2$

Answer:

$x-2$ (where $x
eq -1$)