7 of 87 of 8 Items Question Solve by factoring. n² + 2n – 24 = 0 (1 point) Responses –12, 2 –12, 2 –2, 12 –2, 12 –6, 4 –6, 4 –4, 6 –4, 6 Skip to navigation
To solve the equation n² + 2n - 24 = 0 by factoring, we need to find two numbers that multiply to -24 and add up to 2. These numbers are 6 and -4.
Therefore, the factored form of the equation is (n + 6)(n - 4) = 0.
Setting each factor to zero, we get:
n + 6 = 0 or n - 4 = 0
n = -6 or n = 4
So, the solutions are n = -6 or n = 4.
Correct response:
-6, 4