Question #N1022
A polynomial function, \(f(x)\), has a root at x = 3. Which of the following statements is always true about \(f(x)\)?
A. The graph of \(f(x)\) intersects the x-axis at x = 3.
B. The graph of \(f(x)\) has a minimum value at x = 3.
C. \(f(3) = 0\)
D. \(f(x)\) is a quadratic function.
Correct Answer is: C
A root of a polynomial function is a value of x for which the function equals zero. Since x = 3 is a root of \(f(x)\), it follows that \(f(3) = 0\).