Question

simplify the rational expression. state any excluded values.

x^2-3x-10/x+2

Answer 1

Answer:

The answer to your question is  x - 5 or x = 5

Step-by-step explanation:

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

1.- Factor the numerator

                                       x² - 3x - 10

    find 2 numbers that added equal -3 and multiply equal -10.

    These numbers are -5 and + 2

                                     (x - 5)(x + 2)

2.- Simplify

                                     $\frac{(x - 5)(x + 2)}{x + 2)}$

Delete (x +2) in both numerator and denominator

3.- Result                       x - 5

                                      x = 5