Question

(k + 1)(k - 5) = 0
a. (1, -5)
b. (1, 5)
c. (-5,1)
d. (-1,5)

Explanation:

Step1: Apply zero - product property

If \(ab = 0\), then either \(a = 0\) or \(b = 0\). For the equation \((k + 1)(k - 5)=0\), we set each factor equal to zero.
First factor: \(k + 1=0\), solving for \(k\), we get \(k=- 1\) (by subtracting 1 from both sides of the equation \(k + 1 = 0\)).
Second factor: \(k - 5=0\), solving for \(k\), we get \(k = 5\) (by adding 5 to both sides of the equation \(k - 5=0\)).

Answer:

D. \((-1,5)\)