Answer:
A
Step-by-step explanation:
Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.
A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0 - correct
B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4 - incorrect
C) 0^2 + 2 * 0 - 3 = -3 - incorrect
D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5 - incorrect
So, the answer is A.
The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0
Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0
We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.
Hope this helps!
