What are the zeros of the following quadratic equation and how do you know? x^2+x-6=0

Question

Answer Options;

A. The zeros are (-2,3). I know these are my zeros because they are the x-intercepts.

B. The zeros are (-2,3). I know these are my zeros because I typed the quadratic into poly solve.

C. The zeros are x=2 and x= -3. I know these are my zeros because they are the x-intercepts.

D. The zeros are x=2 and x= -3. I know these are my zeros because I typed the quadratic into poly solve.

Answer 1

We will have to solve the equation by first determining what two value when multiplied equal -6 but when subtracted equal +1. In this case, it is 2 and 3. To obtain a positive value the 3 will be positive.

X² + X - 6 = 0

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

Set each equal to 0 and solve for X.

X - 2 = 0 X + 3 = 0

X = 2 X = -3