Question

What are the zeros of the polynomial function shown on the graph?

A−1, 1, and 2
B−1, 0, and 2
C−1, 1, and −2
D−1, 2, and 3

In factored form, which equation represents the graph of the polynomial function shown on the graph?

A f(x) = (x + 1)(x − 1)(x − 2)

B f(x) = (x + 1)(x + 1)(x − 2)

C f(x) = (x − 1)(x + 1)(x + 2)

Answer 1

The zeros of the polynomial function shown on the graph are -1, 1, and 2. The equation in factored form that represents the graph is f(x) = (x + 1)(x - 1)(x - 2).

Step-by-step explanation:

The zeros of a polynomial function are the values of x for which the function equals zero. In the given options, the zeros of the polynomial function shown on the graph are A−1, 1, and 2, so the correct answer is B−1, 1, and 2.

In factored form, a polynomial function can be expressed as a product of its linear factors. By looking at the zeros, we can determine the factors of the polynomial.

The correct equation in factored form that represents the graph of the polynomial function is f(x) = (x + 1)(x - 1)(x - 2), so the answer is option A.