Question

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

Answer 1

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

Answer 2

C. 2, -3

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