Solve by factoring. n² + 2n – 24 = 0 (1 point) Responses
–12, 2
–2, 12
–6, 4
–4, 6
To solve n² + 2n - 24 = 0 by factoring, we need to find two numbers that multiply to -24 and add up to 2. These two numbers are 6 and -4. So we can rewrite the equation as:
(n + 6)(n - 4) = 0
Now we can set each factor to zero and solve for n:
n + 6 = 0
n = -6
n - 4 = 0
n = 4
So the solutions are n = -6 and n = 4. Therefore, the correct answer is:
-6, 4