Answer:
4. All of the above are equivalent statements.
Step-by-step explanation:
The x-intercept is the point at which a line crosses the x-axis.
The roots of a function are the x-values of the x-intercepts.
Therefore, if (-3, 0) is an x-intercept, then -3 is a root.
The zeros of the function are the x-values when y = 0.
(-3, 0) means x = -3 when y = 0.
Therefore, -3 is a zero.
According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).
Given (-3, 0), then f(-3) = 0. Therefore, (x - (-3)) = (x + 3) is a factor.
Therefore, all given statements are equivalent statements.
