Question

State the Zeros Theorem.

Answer 1

The Zeroes Theorem states that if a polynomial function has a factor (x - k), then k is a zero of the function.

Step-by-step explanation:

The Zeroes Theorem states that if a polynomial function has a factor (x - k), then k is a zero of the function. In other words, if a value of x makes the entire polynomial equal to zero, then that value is a zero or root of the function. For example, if the polynomial function is f(x) = (x - 2)(x + 1)(x - 3), then the zeros of the function are x = 2, x = -1, and x = 3.