What is must be the factor of the polynomial function f(x) graphed on the coordinate plane below ?
![What is must be the factor of the polynomial function fx graphed on the coordinate plane below class=](https://us-static.z-dn.net/files/de7/61aee7b8e636c74edc0c108eb60cbbc9.png)
Answer:
B) x - 1
Step-by-step explanation:
The zeros of a polynomial function are given in the factored form as:
(x - c)
where x = c is a zero of the function (where it crosses the x-axis).
We can see that this function goes through the x-axis at:
Therefore, it must contain the factors:
This corresponds to answer B) x - 1.
Further Note
When x = c, the factor:
(x - c) = (c - c) = 0
and therefore the function's output (y-value) is equal to zero because anything multiplied by zero is zero.