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 the equation n² + 2n - 24 = 0 by factoring, we need to find two numbers that when multiplied together equal -24 and when added together equal 2.
The pair of numbers that satisfy these conditions is -4 and 6, since -4 * 6 = -24 and -4 + 6 = 2.
So we can rewrite the equation as (n - 4)(n + 6) = 0.
Setting each factor equal to zero, we get n - 4 = 0 and n + 6 = 0.
Solving these equations, we find n = 4 and n = -6.
Therefore, the two solutions to the equation are n = 4 and n = -6.
So the correct response is -6, 4.