Question

What is the left and right most x intercepts of x squared +2x -15

Answer 1

- 5, 3

Explanation:

`{x}^(2) + 2x - 15 \\ = {x}^(2) + 5x - 3x - 15 \\ =x(x + 5) - 3(x + 5)\\ = (x + 5)(x - 3) \\ Let \: (x + 5)(x - 3) = 0 \\ x + 5 = 0 \: \: or \: \: x - 3 = 0 \\ x = - 5 \: \: or \: \: x = 3 \\`

Hence, the left and right most x intercepts are--5 and 3 respectively.