Question

What are the zeroes of the polynomial function?

Answer 1

Explanation:

zeroes of a function are the values of x that create the functional value 0.

since we have been given just 4 answer options, we could play "trial and error" to find the right one.

or we could think a little bit.

F(x) = x³ - x² - 6x = x(x² - x - 6) = x(x - 3)(x + 2)

and so the zeros are all values of x that cause that expression to be 0. and that means any value of x that sets one of the factors to 0.

x = 0 is clear.

x = 3 (3 - 3 = 0)

and

x = -2 (-2 + 2 = 0)

are the other 2 zeros.

that means D is the right answer.

Answer 2

Answer: The zeroes of a polynomial function are the values of x!

Explanation:

The zeroes of a polynomial function are the values of x at which the polynomial is equal to zero. The zeroes of a polynomial can be found by setting the polynomial equal to zero and solving for x. For example, if the polynomial is f(x) = x^2 + 3x – 4, then the zeroes are -4 and 1. This is because when x = -4, f(-4) = 0 and when x = 1, f(1) = 0.