Solve by factoring. n² + 2n – 24 = 0
(1 point)
Responses
–12, 2
–12, 2
–2, 12
–2, 12
–6, 4
–6, 4
–4, 6
To solve this equation by factoring, we need to find two numbers that multiply to -24 and add up to 2. The numbers that satisfy this condition are -4 and 6.
Therefore, the factored form of the equation is (n - 4)(n + 6) = 0.
Setting each factor to zero and solving for n gives us:
n - 4 = 0 or n + 6 = 0
n = 4 or n = -6
So, the solutions are n = 4 and n = -6.