Question

Identify the zeros of the following polynomial function: (f(x) = -1 (x + 2)(x - 2)(x + 1)

a) -2, 2, -1
b) -2, 2
c) 1, 2
d) -1, 2

Answer 1

The zeros of the polynomial function (f(x) = -1(x + 2)(x - 2)(x + 1)) are -2, 2, and -1, corresponding to option a).

Step-by-step explanation:

The student is asking about the zeros of a polynomial function. For the function f(x) = -1(x + 2)(x - 2)(x + 1), the zeros can be found by setting the function equal to zero and solving for x. This gives us three equations:

• x + 2 = 0
• x - 2 = 0
• x + 1 = 0

Solving these equations yields the zeros: x = -2, x = 2, and x = -1. Therefore, the zeros of the polynomial function are -2, 2, and -1, which corresponds to option a) -2, 2, -1.