Question: what is the difference between an x-intercept and a zero of a polynomial function f?
Answer: These values have a couple of special properties. Algebraically, zeros, roots, or x-intercepts of a function f(x) are the values of x that make the statement f(x) = 0 true. Geometrically, zeros, roots, or x-intercepts of a function f(x) are the values of x where the graph of the function f crosses the x-axis.