Question

complete each statement so it means the same as 4 is a zero of the function. the graph of the function crosses the ____ at 4. ____ is a factor of the polynomial. the graph of the function crosses the at 4. is a factor of the polynomial.

Explanation:

Step1: Recall zero - function relationship

A zero of a function is an x - value where the function value is zero. The graph of a function crosses the x - axis at its zeros.

Step2: Recall factor - zero relationship

If \(x = a\) is a zero of a polynomial function \(y = f(x)\), then \((x - a)\) is a factor of the polynomial. Here \(a = 4\), so \((x - 4)\) is a factor.

Answer:

The graph of the function crosses the x - axis at 4. \((x - 4)\) is a factor of the polynomial.