Solve for x. x2 + x - 6 = 0 A. - 2, - 3 B. - 2, 3 C. 2, - 3 D. 2, 3

C. 2, - 3

Step-by-step explanation:

x^2 + x - 6 = 0

Factor

What 2 numbers multiply to - 6 and add to 1

3*-2 = 6

3-2 = 1

(x+3) (x-2) = 0

Using the zero product property

x+3 = 0 x-2 = 0

x+3-3 = 0-3 x-2+2 = 0+2

x = - 3 x = 2

Factor x^2 + x - 6

(x - 2) (x + 3) = 0

Solve for x

Ask yourself; When will (x - 2) (x + 3) equal zero?

When x - 2 = 0 or x + 3 = 0

Then solve for each of the two equations above

x = 2, - 3

Answer: C. 2, - 3